SOLUTION: Suppose that you are in a class of 33 students and it is assumed that approximately 17% of the population is left handed. a) Compute the probability that exactly five students are

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Question 852586: Suppose that you are in a class of 33 students and it is assumed that approximately 17% of the population is left handed.
a) Compute the probability that exactly five students are left handed
b) compute the probability that at most four students are left handed
c) compute the probability that at least six students are left handed

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that you are in a class of 33 students and it is assumed that approximately 17% of the population is left handed.
a) Compute the probability that exactly five students are left handed
P(x=5) = 33C5(0.17)^5(0.83)^28 = binompdf(33,0.17,5) = 0.1827
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b) compute the probability that at most four students are left handed
P(0<= x <=4) = binomcdf(33,0.17,4) = 0.3178
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c) compute the probability that at least six students are left handed
P(17<= x <=33) = 1 - binomcdf(33,0.17,16) = 0.00000596...
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Cheers,
Stan H.
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