Approximating Binomial Probabilities In Exercises 2328, determine whether you can use a

Chapter 5, Problem 26

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QUESTION:

Approximating Binomial Probabilities In Exercises 2328, determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities College Graduates About 35% of U.S. workers are college graduates. Yourandomly select 500 U.S. workers and ask them whether they are collegegraduates. Find the probability that the number who have graduated fromcollege is (a) exactly 175, (b) no more than 225, and (c) at most 200, and(d) identify any unusual events. Explain. (Source: U.S. Bureau of Labor Statistics)

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QUESTION:

Approximating Binomial Probabilities In Exercises 2328, determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities College Graduates About 35% of U.S. workers are college graduates. Yourandomly select 500 U.S. workers and ask them whether they are collegegraduates. Find the probability that the number who have graduated fromcollege is (a) exactly 175, (b) no more than 225, and (c) at most 200, and(d) identify any unusual events. Explain. (Source: U.S. Bureau of Labor Statistics)

ANSWER:

Step 1 of 6

Given that,

About p = 35% = 0.35 of U.S. workers are college graduates. You randomly select n = 500 U.S. workers and ask them whether they are college graduates.

 

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