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Question 101

Multiple Choice

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The overnight shipping business has skyrocketed in the last ten years. The single greatest predictor of acompanyʹs success has been proven time and again to be customer service. A study was conducted to study thecustomer satisfaction levels for one overnight shipping business. In addition to the customerʹs satisfaction level,the customers were asked how often they used overnight shipping. The results are shown below in thefollowing table. What is the probability that a respondent did not have a high level of satisfaction with thecompany? Round the the nearest hundredth. $\begin{array} { c | c c c | c } & { \text { Satisfaction level } } & \\\text { Frequency of Use } & \text { High } & \text { Medium } & \text { Low } & \text { TOTAL } \\\hline < 2 \text { per month } & 250 & 140 & 10 & 400 \\2 - 5 \text { per month } & 140 & 55 & 5 & 200 \\> 5 \text { per month } & 70 & 25 & 5 & 100 \\\hline \text { TOTAL } & 460 & 220 & 20 & 700\end{array}$

A) 0.34
B) 0.66
C) 0.57
D) 0.43

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Question 102

Multiple Choice

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After completing an inventory of three warehouses, a golf club shaft manufacturer described its stock of 12,246shafts with the percentages given in the table. Suppose a shaft is selected at random from the 12,246 currentlyin stock, and the warehouse number and type of shaft are observed. Find the probability that the shaft wasproduced in a warehouse other than warehouse 1. Round the the nearest hundredth. $\text { Type of Shaft }$

A) 0.70
B) 0.30
C) 0.51
D) 0.83

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Question 103

Multiple Choice

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The table lists the drinking habits of a group of college students. If a student is chosen at random, find theprobability of getting someone who is a man or a non-drinker. Round your answer to three decimal places. $\begin{array} { l | c | c | c | c } \text { Sex } & \text { Non-drinker } & \text { Regular Drinker } & \text { Heavy Drinker } & \text { Total } \\\hline \text { Man } & 135 & 47 & 5 & 187 \\\text { Woman } & 187 & 21 & 10 & 218 \\\text { Total } & 322 & 68 & 15 & 405\end{array}$

Suppose that the sample space is S = {a, b, c, d, e, f, g, h} and that outcomes are equally likely. Find theprobability of the event E = {b, f, h}.

Three fair coins are tossed in the air and land on a table. The up side of each coin is noted. How manyelements are there in the sample space?

What is the probability that in three consecutive rolls of two fair dice, a person gets a total of 7, followed by atotal of 11, followed by a total of 7? Round to the nearest ten-thousandth.

A certain disease only affects men 20 years of age or older. The chart shows the probability that a man with thedisease falls in the given age group. What is the probability that a randomly selected man with the disease isbetween the ages of 35 and 64? $\begin{array} { c | c } \text { Age Group } & \text { Probability } \\\hline 20 - 24 & 0.004 \\25 - 34 & 0.006 \\35 - 44 & 0.14 \\45 - 54 & 0.29 \\55 - 64 & 0.32 \\65 - 74 & 0.17 \\75 + & 0.07\end{array}$

From 9 names on a ballot, a committee of 4 will be elected to attend a political national convention. How manydifferent committees are possible?

Two events are ________________ if the occurrence of event E in a probability experiment changes theprobability of event F in the same experiment.

A probability experiment is conducted in which the sample space of the experiment is S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} . Let event A={2,3,4,5} and event B={12,13,14} . Assume that each outcome is equally likely. List the outcomes in A and B . Are A and B mutually exclusive?

Find the probability that of 25 randomly selected students, no two share the same birthday.

If a coin is tossed 9 times, how many head-tail sequences are possible?

How many arrangement are there of the letters DISAPPOINT?

True or False: Mutually exclusive events are always independent.

A single die is rolled twice. The set of 36 equally likely outcomes is $\{ ( 1,1 ) , ( 1,2 ) , ( 1,3 ) , ( 1,4 ) , ( 1,5 ) , ( 1,6 ) , ( 2,1 )$ , $( 2,2 ) , ( 2,3 ) , ( 2,4 ) , ( 2,5 ) , ( 2,6 ) , ( 3,1 ) , ( 3,2 ) , ( 3,3 ) , ( 3,4 ) , ( 3,5 ) , ( 3,6 ) , ( 4,1 ) , ( 4,2 ) , ( 4,3 ) , ( 4,4 ) , ( 4,5 ) , ( 4,6 ) , ( 5,1 )$ , $( 5,2 ) , ( 5,3 ) , ( 5,4 ) , ( 5,5 ) , ( 5,6 ) , ( 6,1 ) , ( 6,2 ) , ( 6,3 ) , ( 6,4 ) , ( 6,5 ) , ( 6,6 ) )$ . Find the probability of getting two numbers whose sum is less than 13 .

If P(A) = 0.45, P(B) = 0.25, and P(B|A) = 0.45, are A and B independent?

A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible ifthere are 15 members and any member can be elected to each position? No person can hold more than oneoffice.

Using a standard deck of 52 playing cards are the events of getting an ace and getting a jack on the card drawnmutually exclusive?

True or False: For two events A and B, suppose P(A) = 0.1, P(B) = 0.8, and P(A|B) = 0.1. Then A and B areindependent.

Find the probability that of 25 randomly selected students, at least two share the same birthday. Round to thenearest thousandth.