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4.2.14 A survey asks 1500 workers, \"Has the economy forced you to reduce the am

ID: 3310238 • Letter: 4

Question

4.2.14 A survey asks 1500 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year? Twenty-eight percent they are reducing the amount of vacation. Ten workers participating in the survey are randomly selected The random variable represents the number of workers who are reducing the amount of vacation Decide whether the experimont is a binomial experiment If i is, identily a success, specify the values of n. p. and q, and list the possible vakues of the random variable x This is not a binomial experiment Specify the value of p. Select the correct choice below and fil in any answer boxes in your cholce p 0.28 (Type an integer or a decimal ) This is not a binomial experiment Specify the value of q Select the correct choice below and ill in any answer boxes in your choice A. qD(Type an integer or a decimal ) O B. This is not a binomial experiment

Explanation / Answer

Solution :

   We are given that : Twenty eight percent ( 28% ) of those surveyed say they are reducing the amount of vacation.

Ten workers participating in the survey are randomly selected. The random variable represents the number of workers who are reducing the amount of vacation.

Since all ten participants are different and selected randomly , with probability of saying they are reducing the amount of vacation is 0.28 , the random variable represents the number of workers who are reducing the amount of vacation follows Binomial distribution.

Thus n = 10

p = 0.28

q = 1 - p

q = 1 - 0.28

q = 0.72

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