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Chapter 5: Q. 74 (page 336)

Middle school values Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. The two-way table summarizes the survey data.

Suppose we select one of these students at random.

  1. Find P(athletic | 5thgrade).
  2. Use your answer from part (a) to help determine if the events 鈥�5th grade鈥� and 鈥渁thletic鈥� are independent.

Short Answer

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Step by step solution

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Part (a) Step 1: Given Information

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Part(a) Step 2: Explanation

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Part (b) Step 1: Given Information

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Part(b) Step 2: Explanation

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Most popular questions from this chapter

In a sample of275students, 20say they are vegetarians. Of the vegetarians, 9eat both fish and eggs, 3eat eggs but not fish, and 7eat neither. Choose one of the vegetarians at

random. What is the probability that the chosen student eats fish or eggs?

a. 9/20

b. 13/20

c. 22/20

d. 9/275

e.22/275

Superpowers A random sample of 415children from England and the United States who completed a survey in a recent year was selected. Each student鈥檚 country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the two-way table.

Suppose we randomly select one of these students. Define events E: England, T: telepathy,

and S: superstrength.

a. Find P(T|E). Interpret this value in context.

b. Given that the student did not choose superstrength, what鈥檚 the probability that this child is from England is ? Write your answer as a probability statement using correct symbols for the events.

Four-sided dice A four-sided die is a pyramid whose four faces are labeled

with the numbers 1,2,3and4(see image). Imagine rolling two fair, four-sided dice and

recording the number that is showing at the base of each pyramid. For instance, you would

record a 4if the die landed as shown in the figure.

a. Give a probability model for this chance process.

b. Define event A as getting a sum of 5. Find P(A).

The dotplot displays the number of made shots in 100simulated sets of 50free throw by someone with probability 0.56of making a free throw.

Which of the following is an appropriate statement about Wilt鈥檚 free-throw shooting

based on this dotplot?

a. If Wilt were still only a 56%shooter, the probability that he would make at least 34of his shots is about0.03.

b. If Wilt were still only a 56%shooter, the probability that he would make at least 34of his shots is about 0.97..

c. If Wilt is now shooting better than 56%, the probability that he would make at least 34of his shots is about 0.03.

d. If Wilt is now shooting better than56%, the probability that he would make at least 34of his shots is about0.97.

e. If Wilt were still only a 56%shooter, the probability that he would make at least 34of his shots is about 0.01.

In an effort to find the source of an outbreak of food poisoning at a conference, a team of medical detectives carried out a study. They examined all 50 people who had food poisoning and a random sample of 200 people attending the conference who didn鈥檛 get food poisoning. The detectives found that 40% of the people with food poisoning went to a cocktail party on the second night of the conference, while only 10% of the people in the random sample attended the same party. Which of the following statements is appropriate for describing the 40% of people who went to the party? (Let F = got food poisoning and A = attended party.)

a. P(F|A) = 0.40

b. P(A|FC) = 0.40

c. P(F|AC) = 0.40

d. P(AC|F) = 0.40

e. P(A|F) = 0.40
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