SOLUTION: A Professor estimates the probability that he will receive at least one telephone call at home during the hours of 5pm to 7pm on a weekday to be 2/3. Use the formulas for computin

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Question 856590: A Professor estimates the probability that he will receive at least one telephone call at home
during the hours of 5pm to 7pm on a weekday to be 2/3. Use the formulas for computing
binomial probabilities to answer the following questions:
(a) What is the probability that he will receive at least one call on all five of
the next five weekday nights?
(b) What is the probability that he will not receive a call on any of the next
five weekday nights?
(c) What is the probability that he will receive a call on at least four of the next
five weekday nights?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 p =2/3, n = 5

a) P(at least one call = 1 - P(no calls) = 1 - (1/3)^5 = .9959

b) P(no calls) = (1/3)^5 = .0041

c) P(call at least 4 days) = P(x ≥ 4) = 1 – P(x ≤ 3) = 1- normalcdf(5,2/3, 3)

or

Using: P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+ 

P(x ≥ 4) = P(4) + P(5) =  = .461