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#### Chapter 04, Section 4

###### Statistics

Chapter 04, Section 4.1, Problem 009a

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

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

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

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

A random sample of 932 adults showed that 35 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?

Round your answer to three decimal places.

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 79 167 54 Women 109 123 68

Give exact answers in fraction form.

a. If one adult is randomly selected from these 600 adults, find the probability that this adult

i. is a man

Probability =

ii. does not watch for calories and fat content

Probability =

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

Probability =

iv. is a man given that this adult has no opinion

Probability =

b. Are events men and yes mutually exclusive?

What about yes and no opinion?

c. Are events men and no independent?

Chapter 05, Section 5.2, Problem 07d

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 0.27 0.15 0.13 0.09 0.06

Find P(1≤x≤4).

P(1≤x≤4)=

exact number, no tolerance

Chapter 05, Section 5.3, Problem 021

The H2 Hummer limousine has eight tires on it. A fleet of 1218 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 1218 H2 limos.

 Number of defective tires 0 1 2 3 4 5 6 7 8 Number of H2 limos 67 217 332 312 195 73 14 5 3

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

Round your answers to three decimal places.

 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 1218 H2 Hummer limousines.

Round your answers to three decimal places.

There is an average of  defective tires per limo, with a standard deviation of  tires.

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