Probability Questions and Answers

A pet store has 12 puppies, including 6 poodles, 5 terriers, and 1 retriever. Rebecka and Aaron, in that order, each select one puppy at random without replacement. Find the probability that Aaron selects a retriever, given Rebecka selects a retriever. The probability is.

In a certain city, projections for the next year indicate there is a 20% chance that electronics jobs will increase by 1200, a 50% chance that they will increase by 300, and a 30% chance they will decrease by 700. Find the expected change in the number of electronics jobs in that city in the next year.

A city experiences rain, on average, twice in every ten days during the summer Rain is predicted on average for 70% of the days when rainfall actually occurs, and rain is predicted, on average, for 33% of the days when it does not rain Assume that rain is predicted for tomorrow. What is the probability of rainfall actually occurring tomorrow? 00.1054 0.6535 0.3465 0.8946

Assume food prices have risen about 4% per year for the last five years. a. If a gallon of milk cost $2 five years ago, what does it cost today? b. If a gallon of milk cost $x five years ago, write an expression for its cost today. c. If a gallon of milk costs $3.50 now, what did it cost five years ago? Write and solve an equation to answer the question. Let x = cost of a gallon of milk five years ago d. If milk prices increase 4% per year for five years, what is the overall percent increase?

Living with parents: A Pew Research analysis stated that in 2012, 36% of the nation's young adults ages 18-31 - the so-called Millennial generation - were living in their parents' home. After reading the analysis, a statistics student wanted to design a study to determine if the percentage was higher for the Millennial students who attend his college. Which of the following is an appropriate statement of the null hypothesis? The percentage of Millennial students at his college who live in their parents' home is greater than the percentage of Millennials nationwide (36%). The percentage of Millennial students at his college who live in their parents' home is not the same as the percentage of Millennials nationwide. The percentage of Millennial students at his college who live in their parents' home is the same as the percentage of Millennials nationwide.

A single, six-sided die is rolled. Find the probability of rolling an odd number or a number less than 5. The probability is (Type an integer or a fraction. Simplify your answer.)

A hat contains 5 marbles; one orange, one blue, one green, one yellow, and one red. Two marbles are selected at random without replacement from the hat. Answer parts a through d.. a) Determine the number of points in the sample space. There are points in the sample space.

Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at least two daughters if she were to have four children altogether? (You may want to use a tree diagram to construct the sample space.) The probability is

A research article gives a p-value of .001 in the analysis section. Which definition of a p-value is the most accurate? A. the probability that the observed outcome will occur again. B. the probability of observing an outcome as extreme or more extreme than the one observed if the null hypothesis is true. C. the value that an observed outcome must reach in order to be considered significant under the null hypothesis. D. the probability that the null hypothesis is true.

A game show contestant is offered the option of receiving a computer system worth $2000 or accepting a chance to win either a luxury vacation worth $5200 or a worth $7800. If the second option is chosen the contestant's probabilities of winning the vacation or the boat are 0.20 and 0.15, respectively. If the contestant were turn down the computer system and go for one of the other prizes, what would be the expected winnings? The expected winnings are $

Captain Ashley has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Umaima and her merciless band of thieves. If her ship hasn't already been hit, Captain Ashley has probability 1/2 of hitting the pirate ship. If her ship has been hit, Captain Ashley will always miss. If her ship hasn't already been hit, dread pirate Umaima has probability 1/3 of hitting the Captain's ship. If her ship has been hit, dread pirate Umaima will always miss. If the Captain and the pirate each shoot once, and the pirate shoots first, what is the probability that both the pirate and the Captain hit each other's ships?

SOCKS There is a drawer with 18 loose socks in it. There are 7 navy socks, 6 white socks, and 5 black socks. You pull one sock out, look at the color, and put it back before grabbing another one. 1. Find the probability that the socks are both black. 2. Find the probability that the socks are both white. Find the probability that you pull out a blue then a white sock.

When playing bingo, 50 balls are placed in a bin and balls are selected at random. Each ball is marked with a letter and number as indicated in the chart below. For example, there are balls marked B1, B2, up to B10; I11, I12, up to 120; and so on. Assume one bingo ball is selected at random. What is the probability it has the letter O on it? (Type a fraction. Simplify your answer.)

A student-faculty government committee of 4 people is to be formed from 20 student volunteers and 5 faculty volunteers. Find the probability that the committee will consist of the following, assuming the selection is made at random: Part: 0/4 Part 1 of 4 (a) All faculty members. Round your answer to five decimal places. The probability that the committee will consist of all faculty members is X

The general manager of a fast-food restaurant chain must select 9 restaurants from 11 for a promotional program. How many different possible ways can this selection be done? It is possible to select the nine restaurants in different ways. X Ś

An athlete has tested positive for steroids. A false positive means the test was positive, but the athlete did not use steroids. A true positive means the athlete tested positive and used steroids. What is the probability the athlete used steroids, given that 1% of athletes use steroids, the test's faise positive rate is 0.5%, and the test's true positive rate is 99%? 2.0% 99.9% 66.7% 1.0%

A survey on campus revealed that 59% of the students felt that a new attendance policy was unfair. If a student is randomly asked to give an opinion of the new attendance policy, find the probability that the student will either think it's fair or have no opinion. The probability that the student will either think the policy is fair or have no opinion is %.

A jar contains 4 pennies, 8 nickels and 3 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Round your answers to 3 decimal places. Find the probability X = 10. Find the probability X = 11.

A bag contains 5 red marbles, 6 white marbles, and 5 blue marbles. You draw 3 marbles out at andom, without replacement. What is the probability that all the marbles are red? The probability that all the marbles are red is What is the probability that exactly two of the marbles are red? The probability that exactly two of the marbles are red is What is the probability that none of the marbles are red? The probability of picking no red marbles is

The next 4 problems are based on the following table: Hair color Red Brown Green Males 15 20 40 Females 55 40 35 13. Given a person is a Female, what is the probability that she has green hair? 14. What is the probability that a person is a Male or has Brown hair? 15. What is the probability that a person's hair is not red.

Mark and Raul play three games of pool. They are equal in ability. Draw a tree diagram to determine the sample space and find the probabilities. Let M represent the event that Mark wins a game and R represent the event that Raul wins a game. Write your answers in terms of M and R. Part: 0/5 Part 1 of 5 The sample space is

You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number greater than 4 the second time.

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 9 The probability is: (b) The card drawn is a face card (Jack, Queen, or King) The probability is : (c) The card drawn is not a face card. The probability is :

A jar contains 12 chocolate cookies numbered 1 to 12, and 13 sugar cookies numbered 1 to 13. A cookie is drawn at random from the jar. Find the probability that the cookie is chocolate or even-numbered.

A paper bag contains three $1 bills, two $5 bills, six $10 bills, and one $20 bill. Leonard may select and keep one bill from the bag. Find Leonard's expected gain. a.$5.50 b.$7.75 c.$8.25 d.$6.00 e.$4.80

A savings and loan association needs information concerning the checking account balances of its local customers. A random sample of 14 accounts was checked and yielded a mean balance of $664.14 and a standard deviation(s) of $297.29 a) Use to find a 98% confidence interval for the true mean checking account balance for local customers.

We wish to estimate what percent of adult residents in a certain county are parents. Out of 100 adult residents sampled, 71 had kids. Based on this, construct a 90% confidence interval for the proportion p of adult residents who are parents in this county. Give your answers as decimals, to three places.

A compact disk player is being raffled off, and 150 tickets are sold. If Joyce bought a ticket, what are the odds in favor of her winning the compact disk player? a. 1: 149 b. 1:150 c. 1:99 d. 1:75 e. 1:74

Harvey has kept a record of all of the fish he has caught in Willow Green Lake. He has caught 126 bass, 42 catfish, and 72 blue gill. What is the empirical probability that the next fish he catches will be a catfish? a. 0.225 b. 0.3 c. 0.475 d. 0.525 e. 0.175

You roll a die, winning nothing if the number of spots is odd, $1 for a 2 or a 4, and $7 for a 6. Round your answers to 3 decimal places (a) Find the expected value and standard deviation of your prospective winnings. The expected value is ..., the standard deviation is ... (b) You play twice. Find the mean of your total winnings.

A city council consists of five Democrats and five Republicans. If a committee of six people is selected, find the probability of selecting three Democrats and three Republicans. (Type a fraction. Simplify your answer.) .....

26) IN ONE REGION, 40% OF ALL RESIDENTIAL TELEPHONE NUMBERS ARE UNLISTED. IF 5 RESIDENTIAL HOUSING UNITS ARE RANDOMLY SELECTED, FIND THE PROBABILITY THAT ALL OF THEM HAVE UNLISTED NUMBERS.

The number of songs enjoyed from Aesop Rock for all Learn4Life students is normally distributed with a mean of 5.0 songs and a standard deviation of 2.0 songs. 1. What is the probability an individual student likes more than 7 songs from Aesop Rock? 2. What is the probability an individual student likes less than 3 songs from Aesop Rock? 3. What is the probability an individual student likes between 3 and 7 songs from Aesop Rock? 4. What is the probability an individual student likes between 1 and 9 songs from Aesop Rock?

Suppose that 29% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal (to at least 3 places) or fraction

The probability that a person in the United States has type B* blood is 8%. Four unrelated people in the United States are selected at random. Complete parts (a) through (d). (a) Find the probability that all four have type B* blood. The probability that all four have type B* blood is (Round to six decimal places as needed.) (b) Find the probability that none of the four have type B* blood. The probability that none of the four have type B* blood is. (Round to three decimal places as needed.) (c) Find the probability that at least one of the four has type B* blood. The probability that at least one of the four has type B* blood is. (Round to three decimal places as needed.) (d) Which of the events can be considered unusual? Explain. Select all that apply. OA. The event in part (a) is unusual because its probability is less than or equal to 0.05. OB. None of these events are unusual. OC. The event in part (c) is unusual because its probability is less than or equal to 0.05. OD. The event in part (b) is unusual because its probability is less than or equal to 0.05.

Two coins are flipped. If H represents the coin landing on heads and T represents the coin landing on tails, then the set of equally likely outcomes for the combinations are {TT, TH, HT, HH}. What is the probability of having exactly one tail?

A factory received a shipment of 44 sprockets, and the vendor who sold the items knows there are 5 sprockets in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the sprockets in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 5 sprockets is selected, find the probability that all in the sample are defective. If a sample of 5 sprockets is selected, find the probability that none in the sample are defective.

Travel time for employees at a large company is approximately normally distributed with a standard deviation of 8 minutes. If 14.7% of the employees travel no longer than 26.3 minutes to work, what is the mean travel time for all the employees? Report your answer accurate to at least 1 (one) decimal place. Mean travel time = ... minutes

A committee of five students is to be selected from a group of six girls and four boys. Three of the students are Kim, Donald, and Jason. If the committee is selected at random, the probability that Kim is not on the committee if both Jason and Donald are, is: Select one: O 0.1399 O 0.1389 0.2777 O 0.2778 0.3611

One die is rolled. Let: A = event the die comes up even B = event the die comes up odd C = event the die comes up 4 or more D = event the die comes up at most 2 E = event the die comes up 3 Give your answer as YES or NO (a) Are events A and D mutually exclusive? answer: (b) Are events C and D mutually exclusive? answer: (c) Are events A, B and D mutually exclusive? answer: (d) Are events C and E mutually exclusive? answer: (e) Are events A and C mutually exclusive? answer:

(1 point) A baseball player has a lifetime batting average of 0.238. If, in a season, this player has 425 "at bats", what is the probability he gets 115 or more hits? Probability of 115 or more hits =

A box contains nine whiteboard markers. Three of the markers have no ink. If a student selects two markers from the box without replacement the variance for the number of pens without ink is: Select one: O 5/ W/N 7 18 none of these answers are correct 01/12/2

5 cards are drawn at random from a standard deck. a) Find the probability that all the cards are hearts. b) Find the probability that all the cards are face cards. Note: Face cards are kings, queens, and jacks. c) Find the probability that all the cards are even. (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13)

Sam is making his subject selections for his first year university course. He can choose from four different mathematics subjects, three science subjects, two language subjects and two history subjects. What is the probability that he selects four subjects one of them being mathematics? Select one: W|F | WE 55 33 Onone of the answers are correct 330

A bag contains 9 red marbles, 8 white marbles, and 5 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red? The probability that all the marbles are red is What is the probability that exactly two of the marbles are red? The probability that exactly two of the marbles are red is What is the probability that none of the marbles are red? The probability of picking no red marbles is

a. Let x be a binomial random variable that denotes the number of people in a random sample of 16 Americans who do not know that GOP stands for Grand Old Party. What are the possible values that x can assume? The random variable x can assume any of the integer values between 1 and 16. The random variable x can assume any of the integer values between 0 and 16. The random variable x can assume any of the integer values between 0 and 8. The random variable x can assume any of the values between 0 and 16. The random variablex can assume any of the values between 0 and 9.

12. Thirty percent of Law students who sit for a bar examination pass it the first time. using the Binomial distribution table, the probability that in a random sample of 15 Law students who will sit for the bar examination, at most 3 will pass it the first time is: (see the attached Table) a) 83.00% b) 17.00% c) 70.32% d) 29.68%

Eight percent of all college graduates hired by companies stay with the same company for more than 5 years. The probability that in a rondan sample of 12 such college graduates hired recently by Companies, exactly to will stay with the same company for more than five years is: a) 12.94% b) 18.35% c) 23.01%. d) 33.05 %

Suppose that North Carolina decides to randomly test high school football players for steroid use: North Carolina plans to test 50 of these athletes by randomly choosing 3 from each team. In the state of North Carolina there are 45 teams with 30 players on each team. Is this a simple random sample? How do you know? Yes, because the football players were chosen at random. Yes, if you put all football players' names in a hat and randomly chose 50 players you could get the answer described.

17) A lottery offers one $1000 prize, one $500 prize, and four $100 prizes. One thousand tickets are sold at $3.00 each. Find the expectation if a person buys one ticket. A) -$1.40 B) $1.60 C) $1.90 D) -$1.10