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

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