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प्रश्न
If 5% of the items produced turn out to be defective, then find out the probability that out of 20 items selected at random there are find the mean and variance
उत्तर
Probability of getting a defective item
p = `5/100 = 1/20`
q = 1 – p
⇒ q = `1 - 1/20`
= `(20 - 1)/20`
q = `19/20` and n = 10
In binomial distribution
P(X = x) = nCxpxqn-x
Here (X = x)= `10"C"_x (1/20)^x (19/20)(10 - x)`
Mean E(x) = np
= `10 xx 1/20`
= `1/2`
= 0.5
Varaince = npq
= `10 xx 1/20`
= `19/20`
= `19/40`
= 0.475
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