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Question: Cycle tyres are supplied in lots of 10 and there is a chance of 1 in 500 tyres to be defective. Then...

Cycle tyres are supplied in lots of 10 and there is a chance of 1 in 500 tyres to be defective. Then the approx. no. of lots containing no defective tyre in a consignment of 10,000 lots (given e-0.02 = 0.9802) is

A

9802

B

4901

C

9801

D

4900

Answer

9802

Explanation

Solution

For 1 lot, n = 10, P = 1500\frac { 1 } { 500 }

λ = np = 150=0.02\frac { 1 } { 50 } = 0.02

Probability that a lot contains no defective

P = (X=0) =

Approx. no. of lots containing no defective = 0.9802 x 10,000 = 9802