Question

You work for a large global management consulting company. Of the entire work force of​ analysts, 53​% have had no experience in the telecommunications​ industry, 34​% have had limited experience​ (less than 5​ years), and the rest have had extensive experience​ (5 years or​ more). On a recent​ project, you and two other analysts were chosen at random to constitute a team. It turns out that part of the project involves telecommunications. What is the probability that of your other two​ teammates: ​a) Neither has any telecommunications​ experience? ​b) Both have some telecommunications​ experience? ​c) At least one has had extensive telecommunications​ experience? ​

a) The probability that neither of your other two teammates has telecommunications experience is ?. ​(Type an integer or a decimal. Do not​ round.) ​

b) The probability that both of your other two teammates have some telecommunications experience is ?. ​(Type an integer or a decimal. Do not​ round.) ​

c) The probability that at least one of your other two teammates has had extensive telecommunications experience is ?. ​(Type an integer or a decimal. Do not​ round.)

Answer 1

P(no experience) = 0.53
P(limited experience) = 0.34
P(extensive experience) = 1- (0.53+0.34) = 0.13

a) Neither has any telecommunications​ experience?

P(both have no telecommunication exp) = (0.53)*(0.53)= ​0.2809

b) Both have some telecommunications​ experience?
P(both have limited experience) = (0.34)*(0.34)= 0.1156

​c) At least one has had extensive telecommunications​ experience?

P(At least one has extensive exp) = 1- P(Both do not have extensive exp) = 1-(0.87 *0.87)= 0.2431