Section Bionomial Distribution According to Catalyst based o

Section Bionomial Distribution

According to Catalyst, based on a survey of Fortune 500 companies, 14% of Executive Officer positions in 2012 were female. Answer the following questions based on a random sample of 12 corporate officers:

b. What is the probability that less than four corporate officers were female?

c. what is the probability that more than two corporate officers were female?

Solution

X no of female corporate officers is Binomial with p = 0.14

a) P(x=1) = 12C1(0.14)(0.86)¹¹

=0.3197

b) P(X<4) = P(X=0,1,2,3)

=0.9250

c) P(X>2)=0.2303