In: Statistics and Probability
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) |
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 |