# QNT 275 Week 3 Practice Set

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QNT 275 Week 3 Practice Set

Chapter 04, Section 4.1, Problem 009a

Correct.

In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly.

One person has an iPad and the other does not.

Chapter 04, Section 4.1, Problem 009b

Correct.

In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly.

At least one person has an iPad.

Chapter 04, Section 4.1, Problem 009c

Correct.

In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly.

Not more than one person has an iPad.

Chapter 04, Section 4.1, Problem 009d

Correct.

In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly.

The first person has an iPad and the second does not.

Chapter 04, Section 4.2, Problem 021

Correct.

A random sample of 1605 adults showed that 632 of them have shopped at least once on the Internet. What is the (approximate) probability that a randomly selected adult has shopped on the Internet?

the tolerance is +/-2%

Chapter 04, Section 4.3, Problem 036

Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch.

Yes No No Opinion

Men 75 169 56

Women 104 126 70

Give exact answers in fraction form.

is a man
Probability =

does not watch for calories and fat content
Probability =

iii. watches for calories and fat content given that this adult is a woman

Probability =

is a man given that this adult has no opinion
Probability =

Are events men and yes mutually exclusive?

What about yes and no opinion?

Are events men and no independent?

Chapter 05, Section 5.2, Problem 07d

Correct.

The following table gives the probability distribution of a discrete random variable x.

x 0 1 2 3 4 5 6

P(x) 0.12 0.18 0.28 0.15 0.12 0.07 0.08

Find P(1≤x≤4).

P(1≤x≤4)=

exact number, no tolerance

Chapter 05, Section 5.3, Problem 021

Correct.

The H2 Hummer limousine has eight tires on it. A fleet of 1214 H2 limos was fit with a batch of tires that mistakenly passed quality testing. The following table lists the frequency distribution of the number of defective tires on the 1214 H2 limos.

Number of defective tires 0 1 2 3 4 5 6 7 8

Number of H2 limos 55 209 347 301 203 75 17 4 3

Construct a probability distribution table for the numbers of defective tires on these limos.

x P(x)

0

1

2

3

4

5

6

7

8

Calculate the mean and standard deviation for the probability distribution you developed for the number of defective tires on all 1214 H2 Hummer limousines.