Question

A large company states in their promotional literature that 80% of their employees have college degrees. If 5 employees are selected at random from this company, what is the probability that all 5 will have college degrees?

Answer 1

B) 0.3277 on Edge

Explanation:

The other person was almost right, but Edge rounds it.

Answer 2

Answer: 0.32768

Explanation:

Let x= number of employees have college degree.

Binomial probability formula :

`P(X=x)=\ ^nC_xp^x(1-p)^(n-x)` , where p probability of success in each trial , n= sample size, x= number of successes.

As per given , p =0.80 , n= 5 , x=5

`P(x=5)=\ ^5C_5(0.8)^5(0.2)^(0)= (1)(0..8)^5(1)\ \ \ [\ ^nC_n=1]\\\\= 0.32768`

Hence , the probability that all 5 will have college degrees = 0.32768