Probability Questions and Answers

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

Let the Universal Set S have 141 elements A and 8 are subsets of S Set A contains 22 elements and Set B contains 98 elements If Sets A and B have 16 elements in common how many elements are in B but not in A Answer elements

A group of 218 students were surveyed about the courses they were taking at their college with the following results 146 students said they were taking Math 155 students said they were taking English 167 students said they were taking History 111 students said they were taking Math and English 124 students said they were taking Math and History 129 students said they were taking English and History 99 students said they were taking all three courses How many students took Math English or History Hint

In a loan database there are 26 loans to clients with 15 years of business experience Also there are 30 loans made to clients with a College education In the database there are 36 loans to clients with 15 years of experience or who have a College education How many loans were made to clients with a College education who also had 15 years of experience Answer loans

In a survey of 165 pet owners 96 said they own a dog and 72 said they own a cat 29 said they own both a dog and a cat How many owned neither a cat nor a dog Answer owners

Let the Universal Set S have 184 elements A and B are subsets of S Set A contains 86 elements and Set B contains 74 elements If Sets A and B have 14 elements in common how many elements are in A but not in B Answer elements

obability Dis Que One thousand tickets are sold at 4 351 What is the expected value f

Probability ity Dis A test consists of 10 true or fals

bility S Questi A recent survey found that 70 of all ac probability that at least six wear glasses

bability Dis Question Which of the following is not a requireme Choose the correct answer below OA Each trial must have all outcome B The trials must be dependent

robability y Dis C Assume that male and female b other children Find the probabi

Probability ity Dis Qu Use the probability distribution to The number of school relate Activities 0 1 Probability 0 061 0 121

y Question 44 5 mine whether the given procedure results in sing 4 marbles from a box of 40 marbles 20 mber of red marbles chosen

al Questi Decide if the events A and B are A It rains that day

dule 3 Binomial K Question Par The data given below show the r parts a and b

43357 Module 3 And Binomial Dis Question 30 The following table contains data from a

Pottery Ranch Inc has been manufacturing its own finials for its curtain rods The company is currently operating at 100 of capacity and variable manufacturing overhead is charged to production at the rate of 62 of direct labor cost The direct materials and direct labor cost per unit to make a pair of finials are 4 and 5 respectively Normal production is 30 400 curtain rods per year A supplier offers to make a pair of finials at a price of 13 15 per unit If Pottery Ranch accepts the supplier s offer all variable manufacturing costs will be eliminated but the 43 100 of fixed manufacturing overhead currently being charged to the finials will have to be absorbed by other products a Prepare the incremental analysis for the decision to make or buy the finials Enter negative amounts using either a negative sign preceding the number eg 45 or parentheses eg 45 Direct materials Direct labor Variable overhead costs Fixed manufacturing costs Purchase price Total annual cost b 5 c S Make Should Pottery Ranch buy the finials Pottery Ranch should 121600 152000 94240 1 12 1 0 367840 S the finials Buy 399760 150000 0 13 15 43100 594 860 5 Net Income Increase Decrease 278160 0 94240 43100 415500 Would your answer be different in b if the productive capacity released by not making the finials could be used to produce income of 38 620

Average temperature was compared between two locations For Location A the average temperature for 30 days was found to be 68 75 with a standard deviation of 1 22 and for location B it was found to be 68 63 with a standard deviation of 1 30 Use a t test to find the test statistic and determine if the difference between the average temperatures of these two locations was statistically significant at a 95 confidence level t 36 statistically significant O t 59 not significant 59 statistically significant t 36 not significant

dule 3 Binomial K Choose the three formulas that can be u Question 4 Select the three formulas that can be us A P E 1 P E 1 P E B P E

nial K Question 18 3 2 4 Explain how the complement can be used to find Cheese the correct answer below

nial Question 2 Determine whether the events are inc Returning a rented movie after th

al Question 19 3 2 Determine whether the following statement i If two events are independent P A B P B

3 omial K Question 15 3 A question has five multiple choice answe

3 mial K Question 6 3 1 8 Determine whether the statement is true or false If i You toss a fair coin nine times and it lands tails flip is greater than 0 5 Choose the correct answer below

ile 3 Binomial K Question 3 3 Determine which numbers could not be us Select all that apply

Binomial K O A 77 5 3 C 0 001 r Which of the following car O B Q

and the area of the shaded region The graph depicts the standard normal distribution of bone density cores with mean 0 and standard deviation 1

Med treatment has 2 patients treated Results are inde whats the probal both of them w

Consider a home mortgage of 200 000 at a fixed APR of 6 for 25 years a Calculate the monthly payment b Determine the total amount paid over the term of the loan c Of the total amount paid what percentage is paid toward the principal and what percentage is paid for interest a The monthly payment is Do not round until the final answer Then round to the nearest cent as needed b The total amount paid over the term of the loan is Round to the nearest cent as needed c Of the total amount paid is paid toward the principal and is paid for interest Round to one decimal place as needed

access the materials prior to the deadlines If you need to es it is your responsibility to resolve them in order to mee exams 5 of an experiment participants see a warning signal and the W and a different button if the letters are different e g warning signals and the test stimuli presented on Trial 97 ning signal L test pair LL

Graphical nalysis Questio The mean score of a competency

Module 2 Graphical al Data Analysis K Find the sample s 15 42 53 7 O A 29 1

Identify the estimated simple line Answer

If the random variable z gives the number of points when a four sided die is tossed once determine the expected value E r the variance V r and the standard deviation o Then repeat in the case that a gives the sum when the four sided die is tossed twice

A manufacturer of automobile batteries is concern batteries but more concerned about the standard manufacturer would like the standard deviation of range of the standard deviation of the batteries cu

What is the sample variance of the following numbers 2 4 6 8 10 12 14 O 4 32 O 5 29 O 8 00 O 18 7

Almost all smart devices phones tablets and computers ar screens A consumer advocacy group wanted to inform its m and measured the life of the touch function of the screens 24 screens sampled the average touch life was 80 months deviation of the life of the touch screens Assume that the life less than six decimal places and round the endpoints of the

0 126 Question 2 Based on these results what can you conclude Use an alpha level of 0 05 The result is statistically significant These data do not violate the assumption of homogenous variances These data are normally distributed The variance is identical for both groups These data do not satisfy the assumption of homogenous variances

What amount will result in 5 years Step 1 Given that the value of an investm 5 in the formu your answer to the nearest cent S 1300 1 02 4 5

Assume that the heights of women in a population follow a normal distribution with a mean of 64 3 and a standard deviation of 2 6 b Four women are chosen at random from this population What is the probability that exactly one of them is more than 67 inches tall 0 3675 O 0 1590 0 3909 0 2681

Graph the function y 2x 4 2 y 6 4 2 2 4 6 2 4 X 4 2 4 y 2 2 4 6

diagram to represent the situation 1 Treasure KUDUZ Starting point They knew they needed to find the horizontal and vertical distances between themselves and the treasure represented by the lines labeled x and y in the diagram They also knew that they could use the trigonometric functions sine and cosine to find the length of x and y Help the teenagers find x and y 100m For this project you will create a children s book that explains how to do a problem you have created involving trigonometry The audience for your book is a group of your peers To create your book do the following 1 Write a fictional story around your story problem Your problem should be part of the story not just inserted into a fictional story line Your story must have at least 2 characters and must explain the following Why your characters are trying to solve the problem How they you solve the problem in detail

Suppose X X2 X15 is a random sample with replacement from the Normal population with a mean of 15 and a standard deviation of 10 Find P 13 5 X 20 1 O 0 1573 O 0 9656 O 0 6952 O 0 2546

Let X be a normal random variable with a mean of 5 and a standard deviation of 10 Find P 20 X 15 O 0 3413 O 0 4938 0 3085 O 0 8351

A 3 person committee is to be chosen from 18 British people and 15 Americans What is the probability that the committee will consist of all Americans The events of repeatedly selecting a person from 18 British people and 15 Americans if the same person cannot be selected twice are dependent B Probability Submit answer Answers in progress Answer Simplify your answer and round to four decimal places Score

3 5 points A local firm recently purchased a stamping machine newer model to be used alongside its current stamping machine old Only one machine is required to operate at a time The old machine breakdowns have been recorded in some instances and the newer machine will be utilized in these situations Records showed that 8 of the manufacturing time that the old machine had broken down the newer machine had been successfully used assume that this probability is valid today The historical record indicated that the probability that both stamping machines are in good working conditions at the same time is 0 9 Determine the probability that the two machines will break down when a particular stamping operation is required

hull alternative hypothesis 24 n 65 Sample mean 22 2 4 22 8 1 16 whats the probability is the sample mean unusual

Kony The number of televisions HD per 0 1 406 0 156 Televisions Households P x 0 010 Choose the correct answer below It would not be unusual

Oak Tree circumference and Age 19 Circumference in Age years Which issue can be addressed by conducting a statistical analysis of the values given by the table An older oak tree will have smaller circumference A younger tree will have a smaller circumference 26 48 22 28 46 47 55 30 26 35 An oak tree grown in the forest will have a bigger circumference than one grown in a field A relationship exists between the age of an oak tree and its circumference

9 percent of Geometry students turn in their homework on time Suppose a group of udents is selected and the probability that 5 turned in their homework on time is 0 25 How many students were selected Please show all work