Question

In: Statistics and Probability

Determine the indicated probability for a binomial experiment with the given number of trials n and...

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. Then find the mean, variance, and standard deviation.

18.

n = 10, p = 0.2, P(1)

20.

n = 14, p = 0.3, P(8)

22.

n = 6, p = 0.8, P(6)

24.

n = 15, p = 0.9, P(14 or more)

26.

n = 30, p = 0.9, P(More than 27)

Solutions

Expert Solution

for Binomial(n,p)

mean = np

variance = np(1-p)

std dev = square root of ( np(1-p))

Sr.no n p Mean = np Variance=npq std dev = sqrt(npq)
1 10 0.2 2.0 1.6 1.26
2 14 0.3 4.2 2.94 1.71
3 6 0.8 4.8 0.96 0.98
4 15 0.9 13.5 1.35 1.16
5 30 0.9 27.0 2.7 1.64

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