Probability Questions and Answers

Let A and B be two mutually exclusive events such that P A 0 3682 and P B 0 2059 Find the following probability P A or B Round the answer to 2 decimals

Determine if Assumptions are satisfied A marketing research company is estimating which of two soft drinks college students prefer A random sample of 168 college students produced the following confidence interval for the proportion of college students who prefer drink 344 494 Is this a large enough sample for this analysis to work O No O Yes since n 168 which is 30 or more O It is impossible to say with the given information O Yes since both Y 15 and N Y 15

3 Why you shouldn t gamble too much Remember the previous probl so that the casino could make profits Assume p 0 45 and q 0 55 a You visit a casino with 10 dollars and will leave either you reach 20 dollars or lose all you money Compute the probability you win 20 dollars Use a calculator or computing programs such as R Microsoft Excel or Numbers I b Repeat the same problems with different values of p Compute the probabilities below A10 P you reach 20 dollars when you start with 10 dollars P 0 49 0 48 0 47 0 46 0 45 0 44 0 43 0 42 0 41

Question 30 Determine the number of outcomes in the event Then decide whether the event is a simple event or not Explain your reasoning You roll a six sided die Event B is rolling an even number 2 5 pts O 3 Simple event because the die is only rolled once O 1 Simple event because it is an event that consists of a single outcome 3 Not a simple event because it is an event that consists of more than a single outcome O2 Not a simple event because it is an event that consists of more than a single outcome

Provide an appropriate response A question has five multiple choice questions Find the probability of guessing the correct answer O 2 5 O 15 514 O 4 5

Approximate the mean of the grouped data Miles per day Frequency 1 2 29 3 4 12 5 6 18 7 8 2 9 10 16 06 04 15 05

Provide an appropriate response If an individual is selected at random what is the probability that he or she has a birthday in July Ignore leap years O 12 365 O 31 365 O 1 365 364 365

Question 28 Provide an appropriate response The events A and B are mutually exclusive If P A 0 6 and P B 0 2 what is P A or B 0 8 O 0 12 0

Provide an appropriate response One thousand tickets are sold at 2 each One ticket will be randomly selected and the winner will receive a color television valued at 350 What is the expected value for a person that buys one ticket 1 65 O 1 00 O 1 00 O 1 65

Provide an appropriate response Decide if the events A and B are mutually exclusive or not mutually exclusive A die is rolled A The result is a 3 B The result is an odd number O mutually exclusive not mutually exclusive

Provide an appropriate response Classify the statement as an example of classical probability empirical probability or subjective probability The probability that it will rain tomorrow is 21 empirical probability subjective probability classical probability

Provide an appropriate response State whether the variable is discrete or continuous The number of cups of coffee sold in a cafeteria during lunch continuous discrete

Use the ogive below to approximate the cumulative frequency for 24 hours Cumulative frequency Number of students O 27 O 17 O 75 50 40 10 Leisure Time of College Students 9 5 14 5 19 5 24 5 29 5 34 5 Number of hours 39 5

Find the conditional probability If two cards are drawn without replacement from a deck find the probability that the second card is a spade given that the first card was a spade O 0 216 0 231 O 0 917 0 235

Provide an appropriate response A test consists of 910 true or false questions If the student guesses on each question what is the standard deviation of the number of correct answers 02 15 08 0 0 21 33

It was hard finding real world questions so I made much of this up Question 1 Jupiter weighs 1 898 000 000 000 tons If 1 0 ton is equal to 2000 lbs and 2 5 lbs equals 1 0 Couric How much does Jupiter weigh in Couric a First Determine how many significant figures are in each of the figures a 1 898 000 000 000 tons has 4 significant digits b 2000 Lbs has 4 significant digits c 2 5 has significant digits 2 b Convert each Value in Scientific notation if possible Significant digits times 10 raised to some power then add in units a 1 89 x 10 12 b 2 000 x 10 3 c 2 5 x10 0

The function p gives the cost in dollars to fix the road in terms of the number of potholes on the road a Use function notation to represent the number of dollars needed to fix 9 potholes Preview b Use function notation to represent the cost to fix n potholes Preview c Use function notation to represent the change in the cost of fixing the road as the number of potholes on the roa increases from 10 to 18 Preview d Use function notation to represent that it costs 400 to fix 2 potholes in the road Preview

Question 7 of 7 Step 1 of 1 Identify the population the sample and any population pa A poll was taken of 1215 employees in a loca Answer 2 Points Population all employees Sa O Population all employees Sa

Mode Live Online Class 38 ework Nicols are buying a house selli 2 5 points at the time of closing

K Oleg s Steel Parts produces parts for the automobile industry Read the requirements Requirement 1 Compute Oleg s Steel Parts monthly break Begin by identifying the formula Operating income Fixed expenses Compute Oleg s Steel Parts monthly breakeven sales in doll

uestion 1 Question 2 Question 3 Question 4 Requirement 1 What was the avera Identify the formula labels and comp Contribution margin per unit Times Average sales volume un Contribution margin Less Fixed expenses

The time it takes me to wash the dishes is uniformly distributed between 9 minutes and 18 minutes What is the probability that washing dishes tonight will take me between 14 and 17 minutes Give your answer accurate to two decimal places

The probability density of a random variable X is given in the figure below 1 X 2 From this density the probability that X is between 0 32 and 1 54 is

The average time between accidents in a factory is 10 weeks Find the probability that more than 11 weeks pass between accidents

The lengths of a professor s classes has a continuous uniform distribution between 50 0 min and 52 0 min If one such class is randomly selected find the probability that the class length is more than 51 7 min P X 51 7 Report answer accurate to 2 decimal plac

hat you will read repeat this tutorial as many tim Submit many ways are there to distribute 7 cookies to 4 kids so that each kid gets at least one co

1 On a test your teacher converts all grades to z scores If you received a z score of 2 5 how did you do on the test sleb smoa ai wolsa omited to aleb edt diw me on a led stang nih zid obronams tied and en de biosd stige ban aqlar yot esour Inlisar blog 02 9mit tehode ari new voy 907 ani tadi smon grino691 woy nielqes 2 On a test your teacher converts all grades to z scores If you received a z score of 0 how did you do on the test abno to goinivob brebnasa abroose EF OSI to mora elimode BCHO 3 On a test your teacher converts all grades to z scores If you received a z score of 2 5 how did you do on the test

5 8 6 6 points Consider the function f x In 1 x NOTICE a Determine the Taylor series of f around c 0 that is Maclaurin series of f What is f0106 0

Aski gondola carries skiers to the top of a mountain Assume that weights of skiers are normally distributed with a mean of 198 lb and a standard deviation of 44 lb The gondola has a stated capacity of 25 passengers and the gondola is rated for a load limit of 3750 lb Complete parts a through d below c If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers what is the probability that their mean weight exceeds 187 5 lb which is the maximum mean weight that does not cause the total load to exceed 3750 lb The probability is Round to four decimal places as needed

Suppose you roll a special 26 sided die What is the probability that the number rolled is a 1 OR a 2

Suppose you roll a special 10 sided die What is the probability that the number rolled is a 3 OR a 4 Enter you answer as a fraction or a decimal with 3 decimal digits

All of your answers must be in the form of a reduced fraction 1 If you randomly select a card from a well shuffled standard deck of 52 cards what is the probability that the card you select is a diamond or heart 2 If you randomly select a card from a well shuffled standard deck of 52 cards what is the probability that the card you select is a 6 or 2 3 If you randomly select a card from a well shuffled standard deck of 52 cards what is the probability that the card you select is a diamond or 8 Which question from this problem was not mutually exclusive

Find the indicated Probability given P A 0 45 P B 0 5 P A and B 0 3 P A or B

Assume a standard normal distribution with a mean of O and standard deviation of 1 Use the standard normal curve to find P 0 31 z 1 05

After giving a test to a group of students below is the summary of grades and gender Male Female Total A 16 10 26 B 8 7 15 C 5 13 18 Total 29 30 59 If a student is randomly chosen find the probability that the student did not earn a n B Leave your answer as a reduced fraction

600 baseball fans in St Louis are asked whether they hate the Cubs 564 of them answered yes The empirical probability that a randomly chosen fan will answer yes is The empirical probability that a randomly chosen fan will answer no is Note Enter each answer as a fraction or as a decimal rounded to the nearest hundredth

bra 4 Unit 5 Probability Statistics 5 4 Con Use the table to find each probability to Projected Number of Degree Recipients in 2010 thousands

A ski gondola carries skiers to the top of a mountain Assume that weights of skiers are normally distributed with a mean of 189 lb and a standard deviation of 40 lb The gondola has a stated capacity of 25 passengers and the gondola is rated for a load limit of 3500 lb Complete parts a through d below a Given that the gondola is rated for a load limit of 3500 lb what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers The maximum mean weight is lb Type an integer or a decimal Do not round

card is drawn from a standard P eight The probability that the card is Round to two decimal places

A company has a policy of retiring company cars this policy looks at number of miles driven purpose of trips style of car and other features The distribution of the number of months in service for the fleet of cars is bell shaped and has a mean of 59 months and a standard deviation of 5 months Using the Empirical Rule rule what is the approximate percentage of cars that remain in service between 69 and 74 months Do not enter the percent symbol ans

bability Question 10 of 17 The heights of fully grown trees of a specific species are normally distribut 16 are drawn from the population Use the central limit theorem to find the distribution

Questi ly utility bills in a city are normally distributed w n 70 b between 83 and 100 and c mor

Questi er collects a simple random sample of grade p

rmal tion Quiz K Question 1 of 17 The mean percent of childhood asthma preva selected What is the probability that the mea Interpret this probability Assume that o 1 29

In statistics what is the symbol that represents the Sample Size S OP 0 ON

Let C stand for consumption spending I for investment G for government purchases X for exports M for imports DI for disposable income and NT for net taxes Consider the following identity and answer the questions that follow C I C X M DINT Which of the following best characterizes the above identity Domestic product must exceed aggregate income O Domestic product must equal the total amount of injections into the nation s flow of income and expenditures O Aggregate income must equal the total amount of injections into the nation s flow of income and expenditures Aggregate income must equal domestic product True or False Disposable income must equal consumption plus saving True

Male Question 25 3 3 25 Part 1 of 4 table below shows the results of a survey that a A person is selected at random from the samp N Frequently 226 Occasionally 454

Consider the Venn Diagram below A B 3 n A n B n An B n AUB n A n B 9 7 2

Let the Universal Set be S Let A and B are subsets of S Set A contains 97 elements and Set B contains 70 elements Sets A and B have 6 elements in common If there are 42 elements that are in S but not in A nor B how many elements are in S Answer elements

Let the Universal Set S have 112 elements A and B are subsets of S Set A contains 45 elements and Set B contains 76 elements If the total number of elements in either A or B is 78 how many elements are in B but not in A Answer Ou M elements