a survey ask 1500 workers has the ecomomy forced you to redu

a survey ask 1500 workers has the ecomomy forced you to reduce the amount of vacation you plan to take this year. 56% of those surveyed say they are reducing the amount of vaction. 20 workers particapting in the survey are randomly selected the random variable represents the number of workers who are reducing the amount of vaction decribe whether the experiment is a binomila experiment if it is identfiy a sucess specify the valve of N, P, Q, and list the possible valvues of the random variable x.

(1) is the experiment a binominal experiment,

(2) what is the sucess in the experiment

(3) specify the value n

(4) specify the value p

(5) specify the value Q

(6) list the possiblitity values of the random variable.

Solution

(1) Yes. This is a binomial experiment.

(2) The success is that a worker says that he/she has reduced vacation.

(3) Here n=20

(4) p= probability of success =0.56 (as given)

(5) q= 1-p =0.44

(6) The possible values of the random variable are 0,1,2,....,20.