SOLUTION: Twenty percent of full-time students drop out of a university if a random sample of 6 students is taken what is the probability that. A. no more than 2 students will drop out of sc

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Question 1052596: Twenty percent of full-time students drop out of a university if a random sample of 6 students is taken what is the probability that. A. no more than 2 students will drop out of school? B. Three students will drop out of school? C. No students will drop out of school? D. All students will drop out of school? E. what are mean and standard deviation of number of students from sample that will drop out of school?
Would you use the binompdf function?

Found 2 solutions by ewatrrr, Fombitz:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
P(DROP OUT) = .20, N = 6
A. P(x <= 2) = binomcdf(6,.20,2)
B. P(x = 3) = binompdf(6, .20, 3)
C. P(x = 0) = 1 - binompdf(6,.20,0)
D. P(x = 6) = 1 - binompdf(6,.20,6)
E.
mean = np = 6*.20 = 1.2
s = sqrt(np(1-p) = sqrt(1.2* .8)
Note: We can use the normal distribution
as a close approximation to the binomial distribution
whenever np ≥ 5 and nq ≥ 5.
np = 1.2 < 5
use the binompdf function

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28X%29=C%286%2CX%29%280.2%29%5EX%2A%280.8%29%5E%286-X%29
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A) P%280%29%2BP%281%29%2BP%282%29=0.901
B) P%283%29=0.246
C) P%280%29=0.262
D) P%286%29=0.000064
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E)mu=1.2
sigma=0.98