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  • Three companies X, Y and Z supply computers to a university. the percentage of computers supplied by them and the probability of those being defective are tabulated below <table bo

Three companies X, Y and Z supply computers to a university. the percentage of computers supplied by them and the probability of those being defective are tabulated below

Company % of computers supplied Probability of being defective
X 60% 0.01
Y 30% 0.02
Z 10% 0.03

Give that a computer is defective, the probability that it was supplied by Y is

Option: 1

0.1


Option: 2

0.2


Option: 3

0.3


Option: 4

0.4


Answers (1)

best_answer

Let S and d be the events supply by y and defective respectively.

\therefore Required Probability \mathrm{=P(S / d)}

             \begin{aligned} & =\mathrm{\frac{P(S \cap d)}{P(d)}} \\ \\\mathrm{P(S \cap d)}& =\mathrm{P(S) P(d)} \end{aligned}

                                  \begin{aligned} \\= & 0.3 \times 0.02=0.006 \\ \\\text{P(d)}= & 0.6 \times 0.01+0.3 \times 0.02 +0.1 \times 0.03 \\ \\= & 0.015 \end{aligned}

                          \text{P(S / d)}=\frac{0.006}{0.015}=0.4

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sudhir kumar

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