Question 203204
A corporate executive officer is attempting to arrange a meeting of his three presidents for tomorrow morning. He believes that each of these three busy individuals, independently has a 60% chance of being able to attend the meeting:
a. Find the probability distribution of x, the number of vice presidents who can attend the meeting
It's binomial with n=3 and p=0.6
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b. What is the probability that none of the three vice presidents can attend the meeting?
P(x=0) = (0.4)^3
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c. If the meeting will be held tomorrow morning only if everyone can attend, what is the probability that the meeting will take place at this time?
P(x=3) = (0.6)^3 
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d. How many of the vice presidents should the CEO expect to be available for tomorrow morning’s meeting?
E(x) = 0*P(x=0) + 1*P(x=1) + 2*P(x=2) + 3*P(x=3)
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Cheers,
Stan H.