Probability Questions and Answers

The population mean and standard deviation are given below Find the required probability and determine whether the given sample mean would be considered unusual For a sample of n 66 find the probability of a sample mean being less than 24 2 if 24 and o 1 31 Click the icon to view page 1 of the standard normal table Click the icon to view page 2 of the standard normal table For a sample of n 66 the probability of a sample mean being less than 24 2 if 24 and o 1 31 is Round to four decimal places as needed

The mean height of women in a country ages 20 29 is 64 2 inches A random sample of 70 women in this age group is selected What is the probability that the mean height the sample is greater than 65 inches Assume o 2 61 The probability that the mean height for the sample is greater than 65 inches is Round to four decimal places as needed

STAT1800 90 SP22 23 Business Statistics STAT1800 90 SP22 23 Announcements Start Here Course Information Content Bb Collaborate Calendar Forum DF Post Organize Forum Threads More Help 00

Question 1 STV 1 atch the video and answer the questio

14 7 18 Points DETAILS HARMATHAP Let matrix A represent the sales in thousands of dol the same cities

A simulation is to be conducted to estimate the probability of getting at least 5 girls in a family of 10 children Which of the following is a reasonable way to generate the random numbers for the simulation Select all that apply HE A Generate random integers between 1 and 10 inclusive where 1 5 represents a girl and 6 10 represents a boy B Generate random integers between 1 and 100 inclusive where 1 50 represents a girl and 51 100 represents a boy c Generate random integers between 0 and 1 inclusive where 0 represents a boy and 1 represents a girl D None of these are reasonable ways to generate the random numbers

What is the element b13 b13 X 32 Need Help 7 14 Points A Read It DETAILS Watch It HARMATE Use the following matrix 1 2 0 1 2 3 34 3 What is the sum of matrix A and its negative

A gene is composed of two alleles An allele can be either dominant or recessive Suppose that a husband and wife who are both carriers of the sickle cell anemia allele but do not have the disease decide to have a child Because bot parents are carriers of the disease each has one dominant normal cell allele S and one recessive sickle cell allele s Therefore the genotype of each parent is Ss Each parent contributes one allele to his or her offspring with each allele being equally likely Complete parts a through c below a Genes are always written with the dominant gene first Therefore there are two instances the offspring could have genotype Ss one if the mother contributes the dominant allele and the father contributes the non dominant allele and one if the father contributes the dominant allele and the mother contributes the non dominant allele List the other two possible genotypes of the offspring Use a comma to separate answers as needed

12 7 14 Points Find x y z and w x4 51 X

6 We know that if you toss a fair coin the relative frequency of heads overall should eventually approach 50 Suppose that you toss a fair coin 100 times and get 80 heads What if anything will need to occur as you continue to toss the coin Solution

d T N iz L Question 16 d the z score for the value 50 when

4 A covid 19 test manufacturer is testing its newest instant test It tests people 100 of whom are known to be have the virus The following ta results Test is positive Test is negative Total Have virus 90 30 120 Do not have virus 40 160 200 What is the relative frequency of a false negative result the probability covid 19 will test negative What is the relativn

ical and sis Quiz Question 19 of 21 A fitness instructor measured the heart rates of the parti in a yoga class at the conclusion of the class The data summarized in the histogram to the right There were fif people who participated in the class between the ages 45 Use the histogram to answer the question How many participants had a heart rate between 120 ar hmm

Question 20 of t is the most common trick to mislead reade ose the correct answer below

and Quiz Quest Find the z score for the value 50 who OA Z 0 61 B Z 2 86

Question 12 of 1 ean score of a placement exam for entranc the percentage of scores that lie between

cal and 5 Quiz Questi Approximate the mean of the grouped nearest whole number Phone calls per day Frequency 8 11 12 15 16 19 20 23 48 46 24 17

man anla sis Quiz K Question 4 of 21 For the stem and leaf plot below what is the maximu Key 11 9 11 9 11 69 12 466789 13 112366788 14 4668999 15 011237789 16 22578899 17 36

allu Quiz Question 2 of 21 Use the ogive to the right to approximate the sample size

STAT1800 Business Statistics SP1 2023 Homework Assignment 7 Correlation and Regression updated Question list Question 1 O Question 2 O Question 3 K You are testing the null hypothesis that there is no li a What is the value of tSTAT b At the x 0 05 level of significance what are the c Based on your answers to a and b what statis d Construct a 95 confidence interval estimate of th a What are the hypotheses to test OA Ho B 0 H B 0 OC Ho B 0

physics class has 109 students classified by aca to collect yesterday s work Mrs

Homework Assignment 7 Correlation and Regression updated uestion list Question 1 Question 2 Question 3 Question 4 K Fitting a straight line to a set of data Y 6 8X a Interpret the meaning of the Y inte A The Y intercept bo 8 impli OB The Y intercept bo 6 impli OC The Y intercept bo 6 impli D The Y intercept bo 6 impli b Interpret the meaning of the slope

3 If it cost 10 to fill a gas tank in 1977 what fraction of the same tank would you fill with 10 in 2015

b Does this probability say that if 100 business travelers are selected at random exactly 20 of them will check baggage Explain SEASE

Assignment Score Question 2 of 11 0 The distribution of bladder volume approximately Normal with mean standard deviation 100 ml In wom approximately Normal with mean deviation 75 ml

There are fourteen members of the campus Math Club They want to form a committee of 5 people to promote the Math is an integral part of life campaign How many different committees are possible What is the probability that any one committee is chosen Please clearly state which formula you are using and the values that you will be plugging in use your calculator to compute the rest Please report your probability answer as a fraction

Use the following chart which gives made up data about the results of a test given to students in two different sections of a sociology course taught by the same instructor Test Results of a Sociology course Passed the test MW Section Tuth Section 11 30 Failed the Test 29 8 if three different students are randomly selected find the probability that all three students failed the test and were from the MW section Please round your answer to 3 significant figures The probability of randomly selecting 3 different students who failed the test and were from the MW section 0 0400 The probability of randomly selecting 3 different students who failed the test and were from the MW section 1600514 The probability of randomly selecting 3 different students who failed the test and were from the MW section

O Business Statistics SP1 2023 nework Assignment 6 Two Sample Hypothesis ting Upda on list stion 1 stion 2 stion 3 K Que The accompanying table contains the service ratings of 14 different Inte Click the icon to view the data table B It must be assumed that the distribution of the differences betwe OC It must be assumed that the distribution of the differences betwe OD No assumptions are necessary c Use a graphical method to evaluate the validity of the assumption in Construct a boxplot of the differences Choose the correct graph below

STAT1800 Business Statistics SP1 2023 Question list O Question 1 Question 2 Question 3 Question 4 K a The accompanying data table shows the typical cost a per transa Construct a scatter plot with Bundle score on the X axis a What conclusions can be reached about the relationship b Click the icon to view the table of Bundle score and typical o b a Choose the correct scatter plot below O A Typical Cost 100 Q O B Typical Cost S 100

what is the probability that you would work at least 30 hours a month for each of these side jobs

Roshan conducts a 3 occasion occupancy observed detection history with its approp 0 1 1 1 1 1 Choc Choo 1 Psi 1 Psi 11 Deil

An article in Business Week discussed the large spread betw the credit card rate charged by the top 100 issuers

The RMS Titanic was the most technologically advanced liner in the world in the year 1912 At 11 40pm or Sunday April 14 of that year the Titanic struck an iceberg and sank in less than three hours Sadly only 711 of her 2 201 passengers and crew were saved Some believe that the rescue procedures used that night unfairly favored the wealthy passengers It is also believed that many men aboard gave up the chance for survival so that more women and children could be saved This lab will explore these questions by studying the survival data below Class Second Class Third Class Crew Men Women Children 80 20 6 27 0 1 Fill out the contingency table for rescued lost and class Lost Women Children First Second Third Crew Total 4 13 39 3 Rescued Lost Total a Find the probability of being rescued AND being first class Round to 3 decimals b Find the probability of being rescued AND being third class Round to 3 decimals 1 c Find the probability of being rescued GIVEN being first class Show your work and round to 3 decimals LEIVEN being third clue Show your work and round to 4 decimals

Complete the given sentence Each individual result of a probability experiment Answer

1 Fill out the contingency table for rescued lost and class First Second Rescued Lost Total a Find the probability of being rescued AND being first class Round to 3 decimals Third Crew Total b Find the probability of being rescued AND being third class Round to 3 decimals D c Find the probability of being rescued GIVEN being first class Show your work and round to 3 decimals i d Find the probability of being rescued GIVEN being third class Show your work and round to 3 decimals e Which is a better indicator that the wealthy may have been favored Explain why you selected your answer the probability of being rescued AND being first class the probability of being rescued GIVEN being first class

2 Write the last two digits of your 1000 student ID number with a decimal point in between these two digit 1 Assume that this number is the average number of squirrels you come across when you walk from the Life Science Building LS to the Engineering Research Building ERB Tomorrow you plan to walk from LS to ERB and you wonder what it the probability of observing at most three squirrels Assume that squirrels are randomly distributed and that each squirrel is an independent observation NOTE if your last two digits happen to be both 0 use 4 2 as the average number of squirrels encountered 3 Write the last digit of your 1000 student ID number 4401 You know that in a specific population of rainbow trout 15 of the individuals carry intestinal parasites Assume you obtain a random sample of 9 individuals from this population a Calculate the probability that last digit of your ID number carry intestinal parasites b Calculate the probability that at least two individuals carry intestinal parasites NOTE you can still calculate a if your last digit is 0

frequency distribution for the response time for EMTS af

Suppose you are a craft beer lover taking a trip to Port and Breweries data set from the companion website s questions Beers and Breweries Web Access Download Step 1 of 2 What is the mean and standard deviation

2 If a ski lift ticket cost 100 in 2015 what was its price in 1985 dollars

A large life insurance company is interested in studying the insur amount of insurance held by husbands and wives The insurance The results are summarized in the following table

Write out the sample s Answer How to enter your ans

Decide if the following probability At a local university you poll a gro Answer

Each individual result of a probability experi Answer

Decide if the following probabi

A binomial experiment consists of 700 trials The probability of success for each trial is 0 4 What is the probability of obtaining 275 300 successes Approximate the probability using a normal distribution This binomial experiment easily passes the rule of thumb test for approximating a binomial distribution using a normal distribution as you can check When computing the probability adjust the given interval by extending the range by 0 5 on each side Click the icon to view the area under the standard normal curve table BCXX The probability of obtaining 275 300 successes is approximately Round to two decimal places as needed

Ho p 0 75 H p 0 75 A researcher is simulating samples of n 50 from a population with a proportion of p 0 75 and conducting hypothesis tests using the statements above If they conduct 10 hypothesis tests each with a 0 05 alpha level how many times should they expect to reject the null hypothesis 4

ollowing questions are based on the theoretical probabilities the game Do NOT use the results from the games you played earlier Rock Paper Scissors is essentially a two step game In the first step you make your choice In the second step your opponent makes their choice Create a sample space related to playing a game of Rock Paper Scissors By the counting principal your sample space should have 9 possible results Using your sample space determine the theoretical probability that you will a Win b Lose

dataset 1 You will need the same dataset used for problem 3 in homework 1 obtained from the yahoo website with the company you selected Use Excel to calculate the average and standard deviation of the close data column Assume that these two numbers represent the population parametric mean and population standard deviation respectively for the variable length in cm in a population of a species of fish Attach a printout of the data to your homework and write down the ticker code on it a Calculate the probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average x will be equal to 0 2 b Calculate the probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average x 0 2 c Calculate the probability of sampling at random a fish that has a size between the two values x 0 2 x 0 2 used in parts a and b respectively d Calculate the 25th and 75th percentiles of fish size for the population using the normal distribution table e Imagine that 5 individuals are sampled at random from this fish population Calculate the probability that the average calculated will be less than the 12 Tesla T SLA Dec 1 365 00 Dec 8 Question 3 356 32 Decis 32533 Decal 312 84 Dec 28 Dec 2 361 53 Dec 9 334 60 Dec 3 33832 Dec 16 Dec lo 339 01 305 97 DEC 27 Dec 29 36706 362 82 and with Comfoonnor Dec 16 336 34 Dec 13 32214 310 86 Dec 23 355 67 Dec 30 356 78 Dec 7 350 58 Dec 14 319 50 Dec 20 299 98 Dec 27 36416

Suppose you have an experiment where you draw three cards with replacement from a standard deck of 52 cards You then count the number of aces drawn Use this experiment to address each of the following questions Round solutions to four decimal places if necessary a State the random variable Select an answer b Construct a probability distribution table for the number of aces obtained when three cards are randomly drawn with replacement Enter the x values from smallest to largest P x c Determine the shape of the probability distribution of The probability distribution of x is Select an answer d Find the mean number aces drawn when three cards are randomly selected f I The mean of a discrete probability distribution is also notated by Select an answer Which of the following is the correct interpretation of the mean Select an answer e Find the standard deviation for the number of aces drawn when three cards are randomly selected f Find the probability of drawing two or more aces

A recent survey found that 40 of IRSC students plan to go on a vacation after graduation Suppose 5 IRSC students are randomly selected and let x be the number of students that plan to go on a vacation after graduation out of the sample of 5 Use the binomial probability formula or the binomial probability table to construct the probability distribution of x Also use the binomial probability formula or the binomial probability table to construct the cumulative probability distribution of Round solutions to four decimal places if necessary xP x 2 3 4 5 xP X x 0 1 2 3 4 5 Calculate the probability that no more than 2 students out of a random sample of 5 students plan to go on vacation after graduation P x 2 Calculate the probability that more than 2 students out of a random sample of 5 students plan to go on vacation after graduation P x 2