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Question
Using binomial distribution find the mean and variance of X for the following experiments.
A fair die is tossed 240 times and X denotes the number of times that four appeared
Solution
Let p be the probability of getting 4 when a die is thrown
n = 240
p = `1/6`
X = B(n, p)
q = 1 – p = `5/6`
Mean: = np
= `240 xx 1/6`
= 40
Variance: = npq
= `40 xx 5/6`
= `100/3`
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