Question 716435: 7. A SC Tourist Bureau survey showed that 75% of those who seek information about the state actually come to visit. The office received 12 requests for information. Find:
a. The probability that more than five of the people will visit SC? ______
b. The probability that at least 3 of the people will not visit SC? ______
c. The probability that 4 to 8, inclusive, of the people will visit SC? _______
d. What is the expected number of visitors from this group? __________
e. Make the histogram of the binomial distribution for this situation.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A SC Tourist Bureau survey showed that 75% of those who seek information about the state actually come to visit. The office received 12 requests for information.
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Binomial Problem with n = 12 ; p(visit) = 0.75 ; p(not visit) = 0.25
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Find:
a. The probability that more than five of the people will visit SC?
P(5<= x <= 12) = 1 - binomcdf(12,0.75,4) = 0.9972
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b. The probability that at least 3 of the people will not visit SC?
P(3<= x <=12) = 1 - p(0<= x <=2) = 0.6093
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c. The probability that 4 to 8, inclusive, of the people will visit SC? _______
d. What is the expected number of visitors from this group?
Expected number = mean = np = 12*0.75 = 9
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e. Make the histogram of the binomial distribution for this situation.
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Cheers,
Stan H.
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