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प्रश्न
Using binomial distribution find the mean and variance of X for the following experiments.
A fair coin is tossed 100 times, and X denote the number of heads
उत्तर
Let p be the probability of getting heads
⇒ p = `1/2`
n = 100
p =`1/2`
X = B(n, p)
q = 1 – p = `1/2`
Mean: = np
= `100 xx 1/2`
= 50
Variance: = npq
= `50 xx 1/2`
= 25
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