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Chapter 3: Q. 70 (page 221)

Use the following information to answer the next 12exercises. The graph shown is based on more than 1,70,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

Find the probability that an Emotional Health Index Score is more than 81?

Short Answer

Expert verified

The probability that an Emotional Health Index Score is more than 81is 0.5.

Step by step solution

01

Given information

Given the Emotional Health Index Score

02

Explanation

We are assuming that all occupations are equally likely to occur while doing a random sample. Let A be the probability that an Emotional Health Index Score is more than 81. From the graph, there are seven occupations (Farming, Fishing or forestry, teacher, physician, professional, nurse, business owner and managing, executive or officials) shown whose Emotional Health Index Score is more than 81. So, the probability of A:

localid="1648751487048" PA=No. of favourable outcomeTotal no. of outcomePA=714PA=12PA=0.5

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Most popular questions from this chapter

Use the following information to answer the next 12exercises. The graph shown is based on more than 170,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

What occupation has the lowest emotional index score?

A jar of 150 jelly beans contains 22 red jelly beans, 38

yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

Let B = the event of getting a blue jelly bean

Let G = the event of getting a green jelly bean.

Let O = the event of getting an orange jelly bean.

Let P = the event of getting a purple jelly bean.

Let R = the event of getting a red jelly bean.

Let Y = the event of getting a yellow jelly bean.

Find P(P).

The probability that a man develops some form of cancer in his lifetime is 0.4567. The probability that a man has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51 Let: C = a man develops cancer in his lifetime; P = man has at least one false positive. Construct a tree diagram of the situation.

J and K are independent events. P(J|K) = 0.3. Find P(J).

Use the following information to answer the next two exercises. You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.

Let B = the event of landing on blue.

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Let G = the event of landing on green.

Let Y = the event of landing on yellow.

If you land on Y, you get the biggest prize. Find P(Y).
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