A RandstadHarris interactive survey reported that 25 of empl

A Randstad/Harris interactive survey reported that 25% of employees said their company is loyal to them (USA Today, November 11, 2009). Suppose 10 employees are selected ran- domly and will be interviewed about company loyalty 37,

Solution

a) There are two outcomes here and each employee is independent of the other.

Hence selection of 10 employees to check no of employees who say their company is loyal to them is binomial

b) Let X be the no of employees who say their company is loyal to them is binomial

X is binomial with n =10 and p = 0.25

P(X=0) = 0.75¹⁰ = 0.05631

c) P(x=4) = 10C4 (0.25)⁴(0.75)⁶= 0.1460

d) P(X>=2) = P(x=2 or 3 or4 or...10)=0.7560