A survey asks 1200 workers, \"Has the economy forced you to reduce the amount of

Question

A survey asks 1200 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Fifty- seven percent of those surveyed say they are reducing the amount of vacation. Thirty 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 experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.

Specify the value of N Specify the value of p; specify the value of q.

Explanation / Answer

X = number of workers who are reducing the amount of vacation

As per survey, probability of x is a constant value, 0.57

The experiment here is binomial.

Success is the event of 'a worker reducing the amount of vacation'

n = 30

p = 0.57

q = 1-p = 0.43

The possible values of x are 0, 1, 2,3 ....29,30

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