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5 October, 09:26

A group of four components is known to contain two defectives. An inspector tests the components one at a time until the two defectives are located. Once she locates the two defectives, she stops testing, but the second defective is tested to ensure accuracy. Let Y denote the number of the test on which the second defective is found. Find the probability distribution for Y.

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  1. 5 October, 09:35
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    when Y = 2, P (2) = 1/6 = 0.167

    when Y = 3, P (3) = 2/6 = 0.333

    when Y = 4, P (4) = 3/6 = 0.5

    Step-by-step explanation:

    Total number of possible ways to choose 2 components for defectives out of 4 components = 4C2 = 6

    Y can only take values of 2, 3 and 4

    So, Probability of Y = P (Y) = 1C (Y-1) / 6

    when Y = 2, P (2) = 1/6 = 0.167

    when Y = 3, P (3) = 2/6 = 0.333

    when Y = 4, P (4) = 3/6 = 0.5
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