Working on summer vacation. In Exercise 4.68 (p. 240), you learned that 30% of adults do not

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Working on summer vacation. In Exercise 4.68 (p. 240), you learned that 30% of adults do not work at all while on summer vacation. Now consider a random sample of 1,500 adults and let x represent the number who do not work during summer vacation.

a. What is the expected value of x? Interpret this value practically.

b. Find the variance of x.

c. Find the approximate probability that x is less than 460.

d. Would you expect to observe 500 or more adults in the sample of 1,500 who do not work during summer vacation?
Explain.

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