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Chapter 4: Q.19 (page 283)

Find the expected value from the expected value table.

Short Answer

Expert verified

Expected value is5.4.

Step by step solution

01

Given Information

Sam participates in community events as a volunteer. In a month, he performs no more than five events. He attends exactly five activities 35%of the time, four events 25%of the time, three events 20%of the time, two events 10%of the time, one event 5%of the time, and no events 5%of the time.

02

Explanation

According to the data in the table above, the expected value of the random variable is the sum of the entries in the column x*P(x)that is

2(0.1)+(4(0.3)+6(0.4)+8(0.2)=0.2+1.2+2.4+1.6=5.4

As a result, the expected value is5.4.

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Most popular questions from this chapter

Jeremiah has basketball practice two days a week. Ninety percent of the time, he attends both practices. Eight percent of the time, he attends one practice. Two percent of the time, he does not attend either practice. What is X and what values does it take on?

The chance of having an extra fortune in a fortune cookie is about 3%. Given a bag of 144 fortune cookies, we are interested in the number of cookies with an extra fortune. Two distributions may be used to solve this problem, but only use one distribution to solve the problem.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many cookies do we expect to have an extra fortune?

e. Find the probability that none of the cookies have an extra fortune.

f. Find the probability that more than three have an extra fortune.

g. As n increases, what happens involving the probabilities using the two distributions? Explain in complete sentences.

Find the probability that her cats will wake her up no more than five times next week.

a.0.5000b.0.9329c.0.0378d.0.0671

Use the following information to answer the next six exercises: The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly select freshman from the study until you find one who replies 鈥測es.鈥� You are interested in the number of freshmen you must ask.

On average (渭), how many freshmen would you expect to have to ask until you found one who replies "yes?"

X ~ _____(_____,_____)
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