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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 between 80.5 and 82?

Short Answer

Expert verified

The probability of emotional health index score to be between 80.5and 82is,PA=0.357.

Step by step solution

01

Given information

Given the Emotional Health Index Score

The emotional health index score between 80.5and82.

02

Explanation

The probability of emotional health index score is,

P(A)=80.7+80.9+81.5+81.7+81.879.6+80+80.1+80.2+80.3+80.7+80.9+81.5+81.7+81.8+82.3+82.7+82.7+83.7P(A)=406.61138.2=0.357

Conclusion :

Thus, the probability of emotional health index score is,PA=0.357.

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Most popular questions from this chapter

Table 3.3shows the number of athletes who stretch before exercising and how many had injuries within the past year.

a. What is P (athlete stretches before exercising)?

b. What is P (athlete stretches before exercising|no injury in the last year)?

Use the following information to answer the next three exercises. The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains of 38numbers, and each number is assigned to a color and a range.

a. List the sample space of the 38possible outcomes in roulette.

b. You bet on red. Find P(red).

c. You bet on -1st12- (1st Dozen). Find P1st12.

d. You bet on an even number. Find P(even number).

e. Is getting an odd number the complement of getting an even number? Why?

f. Find two mutually exclusive events.

g. Are the events Even and 1stDozen independent?

G and H are mutually exclusive events. P(G)=0.5P(H)=0.3

a. Explain why the following statement MUST be false: P(H|G)=0.4.

b. Find P(HORG).

c. Are G and H independent or dependent events? Explain in a complete sentence

Suppose a study of speeding violations and drivers who use cell phones produced the following fictional data: Table 3.2.


Speeding violation in the last yearNo speeding violation in the last yearTotal
Uses cell phone while driving25280305
Does not use cell phone while driving45405450
Total70685755

The total number of people in the sample is 755. The row totals are 305 and 450. The column totals are 70 and

685. Notice that 305 + 450 = 755 and 70 + 685 = 755.

Calculate the following probabilities using the table.

a. Find P(Driver is a cell phone user).

b. Find P(driver had no violation in the last year).

c. Find P(Driver had no violation in the last year AND was a cell phone user).

d. Find P(Driver is a cell phone user OR driver had no violation in the last year).

e. Find P(Driver is a cell phone user GIVEN driver had a violation in the last year).

f. Find P(Driver had no violation last year GIVEN driver was not a cell phone user)

An experiment consists of first rolling a die and then tossing a coin.

a. List the sample space.

b. Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find PA.

c. Let B be the event that the first and second tosses land on heads. Are the events A and B mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification.

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