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Chapter 3: Q.9 (page 215)

Use the following information to answer the next six exercises. 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(R).

Short Answer

Expert verified

The value of P(R) is0.15

Step by step solution

01

introduction

Probability is just the way that logical something is to occur. Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results 鈥� how likely they are. The investigation of occasions administered by likelihood is called insights.

02

explanation

The probability of getting a red jelly bean is

Probability = NumberofredjellybeansTotal number ofbeans

Total red jelly beans = 22

Total beans = 150

The probability of getting a red jelly bean is 0.15

P(R)=22150=0.15

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Most popular questions from this chapter

After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late 2011, the Forum Research polled 1,046people to measure the mayor鈥檚 popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced:

鈥� In early 2011,60percent of the population approved of Mayor Ford鈥檚 actions in office.

鈥� In mid-2011,57percent of the population approved of his actions.

鈥� In late 2011, the percentage of popular approval was measured at 42percent.

a. What is the sample size for this study?

b. What proportion in the poll disapproved of Mayor Ford, according to the results from late 2011?

c. How many people polled responded that they approved of Mayor Ford in late 2011?

d. What is the probability that a person supported Mayor Ford, based on the data collected in mid-2011?

e. What is the probability that a person supported Mayor Ford, based on the data collected in early 2011?

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.

Let R = the event of landing on red.

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).

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 is the probability that an Emotional Health Index Score is 80.7or 82.7?

1994, the U.S. government held a lottery to issue 55000Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately 6.5million people who entered this lottery. Let G = won green card.

a. What was Renate鈥檚 chance of winning a Green Card? Write your answer as a probability statement.

b. In the summer of 1994, Renate received a letter stating she was one of 110,000finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate鈥檚 chance of winning a Green Card? Write your answer as a conditional probability statement. Let F = was a finalist.

c. Are G andF independent or dependent events? Justify your answer numerically and also explain why.

d. Are G and F mutually exclusive events? Justify your answer numerically and explain why.

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6%of all Californians are Latino. In this problem, let: 鈥� C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

Find P(C|L).

See all solutions

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