The probability that a student is not a swimmer is 1/5. The probability that out of 5 students exactly 4 are swimmer is
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a
453
b
454
c
5C4454
d
343
answer is B.
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Detailed Solution
Let p = probability that a student selected at random is a swimmer = 1−1/5=4/5. n= number of students selected =5and X=number of swimmers Then X~B(n,p) where n=5 and p=4/5Probability that exactly 4 students are swimmer is =5C4p4q=545415=454.