SOLUTION: Seventy percent of the students applying to a university are accepted. What is the probability that among the next 18 applicants a. At least 6 will be accepted? b. Exactly 1

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Question 1027210: Seventy percent of the students applying to a university are accepted. What is the probability that among the next 18 applicants

a. At least 6 will be accepted?
b. Exactly 10 will be accepted?
c. Exactly 5 will be rejected?
d. Fifteen or more will be accepted?
e. Determine the expected number of acceptances.
f. Compute the standard deviation

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use P%28X%29=C%2818%2CX%29%2A%280.7%29%5EX%2A%280.3%29%5E%2818-X%29
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A) P%28X%3E=6%29=sum%28P%28X%29%2CX=6%2C18%29=0.9997
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B) P%2810%29=0.0811
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C) Which means exactly 13 will be accepted.
P%2813%29=0.2017
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D) P%28X%3E=15%29=sum%28P%28X%29%2CX=15%2C18%29=0.1646
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E) Shown in yellow, mu=12.6
F) Also shown in yellow, sigma=1.94