A shop receives a batch of 100 cheap lamps. The probability that a lamp is defective is 0.01. The qualities of the lamps in the batch are independent of each other. What is the probability that the batch contains two defective lamps

0.1849

Step-by-step explanation:

Given that :

Sample size / number of trials = 100

Probability that a lamp. Is defective = 0.01

Probability that batch contains two defective lamps :

Using the binomial probability function :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 2) = 100C2 * 0.01^2 * (1 - 0.01)^(100-2)

P(x = 2) = 100C2 * 0.01^2 * 0.99^98

P(x = 2) = 4950 * 0.0001 * 0.3734642

= 0.184864779

= 0.1849

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