suppose that 32 of undergrade students at hunter college hav

suppose that 32% of undergrade students at hunter college have a part time- job. suppose that 10 students are randomly selected and asked if they have a part time- job.

a) what is the probabily that more than one student have a part time job?show your work clearly .

b) determine the mean and standard deviation.

Solution

Prob for any student having parttime job = 0.32

X - no of students having part time is binomial with p = 0.32 and n = 10

a) probabily that more than one student have a part time job

= P(X>1)

= 0.0995

b) E(X) = Mean = np = 10(0.32) = 3.20

c) Var(x) = npq = 10(0.32)(0.68)

= 2.176

Std dev = 1.4751