Question

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? Select the correct answer from above options

Answer 1

given that, `p = 5%= 0.05` `q=1-p= 0.95` & `n=10` `P(X<=1)= P(X=0) + P(X=1)` <br> `= .^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)` `=1.45*(0.95)^9` answer