1.

If 6% of item produced turn out to be defective then find out the probability that out of 20 items selected at random there exactly four defective.

Answer»

Probability that selected item is defective is

p = 6%  = 6/100 = 3/50

Probability that selected item is not defective is

q = 1 - p = 1 - 3/50 = 47/50

Probability that out of 20 items exactly four items are defective is

p(E =4)  = 20C4P4q20-4

 = 20C4(3/50)4(47/50)16

Hence, the required probability is 20C4 (3/50)4(47/50)16



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