Answer: 0.32768
Step-by-step explanation:
Let x= number of employees have college degree.
Binomial probability formula :
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , 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
[tex]P(x=5)=\ ^5C_5(0.8)^5(0.2)^{0}= (1)(0..8)^5(1)\ \ \ [\ ^nC_n=1]\\\\= 0.32768[/tex]
Hence , the probability that all 5 will have college degrees = 0.32768
