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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

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies.

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. What is the probability that we must survey just one or two residents until we find a California resident who does not have adequate earthquake supplies?

e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies?

f. How many California residents do you expect to need to survey until you find a California resident who does not have adequate earthquake supplies?

g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?

A trainer is teaching a dolphin to do tricks. The probability that the dolphin successfully performs the trick is 35%, and the probability that the dolphin does not successfully perform the trick is 65%. Out of 20 attempts, you want to find the probability that the dolphin succeeds 12 times. State the probability question mathematically.

P(x=4)=_______P(x = 4) = _______

Complete the expected value table.

Complete Table 4.20 using the data provided.
See all solutions

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