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There are 5% defective items in a large ...

There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item?

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given that, `p = 5%= 0.05`
`q=1-p= 0.95`
& `n=10`
`P(X<=1)= P(X=0) + P(X=1)`
`= .^nC_0p^0q^n + .^nC_1p^1q^(n-1)`
`=1q^n + npq^(n-1)`
`= (0.95)^10 + 10*0.05*0.95^9`
`= (0.95)^9(0.95+0.5)`
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