Question 1004976: From previous records it was estimated that the probability that a student passes a statistics test is 0.95. A class consists of 65 students. Determine the probability that
i) 60 persons will pass
ii)at least 63 persons will pass
iii) at least one person will pass
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! From previous records it was estimated that the probability that a student passes a statistics test is 0.95. A class consists of 65 students.
Binomial Problem with n = 65 and p = 0.95
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Determine the probability that
i) 60 persons will pass
P(x = 60) = 65C60(0.95)^60*(0.05)^5 = binompdf(65,0.95,60) = 0.1189
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ii)at least 63 persons will pass
P(x >= 63) = 1 - binomcdf(65,0.95,62) = 0.3630
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iii) at least one person will pass
P(x >=1) = 1 - P(x = 0) = 1 - binompdf(65,0.95,0) = 1 - (approximately zero)
= approximately 1
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Cheers,
Stan H.
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