a survey ask 1200 workers has the economy forced you to redu

a survey ask 1200 workers, has the economy forced you to reduce the amount of vacation you plan to take this year? forty four percent of those surveyed say theyare reducing the amount of vaction. ten workers participating in the survey are randomly selected. the random variable represents the number of workers who are reducing the amount of vaction. decribe whether the experimet is a binomial experiment. if it is, identlfy a success, specify the values of n,p, and q and list the possible values of the random variable x

(1) is the experiment a binomial experiment

(2) what is the success in the experiment

(3) specify the value of N =

(4) specify the value of P=

(5) specify the value of Q=

(6) list the possibility values of the random variable x

Solution

1. Yes, as they are only 2 possible results, that is, reduce or not reduce that amount of vacation.

2. Reducing the amount of vacation.

3. N = 1200 here, the number of participants.

4. P = 0.44 here, the proportion of those who will reduce their vacation.

5. Q = 1 - P = 1 - 0.44 = 0.56

6. The possibility value of x are x = {0,1,2,3,4,... 1199,1200}