You work for a large global management consulting company. Of the entire work fo

Question

You work for a large global management consulting company. Of the entire work force of analysts. 55% have had no experience in the telecommunications industry. 25% 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.)

Explanation / Answer

A) any event A ,p(Ac)=1-p(A)

since here we need to find the probability of two teammates.

we have p(neither has any telecommunication experience)

=P(1-(0.25+0.20))2

=P(1-0.45)2

=p(0.55)2

=0.55*0.55

=0.3025

P( neither has any telecommunication experience)=0.3025

B) forany event A.

P(Ac)=1-p(A)

Here we have formula has p(Ac)*p(Ac)=(1-p(A)).(1-p(A))

P(both have some tele communication experience)

=(1-0.55)2

=(0.45)2

=0.2025

P( both have some telecommunication experience is 0.2025

C) for any event A.

P(Ac)=1-p(A)

Here we have formula has

1-{p(Ac)*p(Ac)}=1-{(1-p(A)).(1-p(A))}

P(atleast one has had extensive experience)

=1-(1-0.80)2

=1-(0.20)2

=0.96

P(atleast one has had extensive experience is 0.96

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