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Problem regarding the chi-square distribution

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Reference no: EM13965223

1. Let Y have a chi-square distribution with 7 degrees of freedom. Find the following probabilities.

(a) P (Y > y0) = 0.025

(b) P (a <>Y < b)="">= 0.90

(c) P (Y > 1.239).

2. The time to failure T of a microwave oven has an exponential distribution with pdf 1 f(t) = 2 e- t/2, t > 0.

If three such microwave ovens are chosen and t is the mean of their failure times, ?nd the following:

(a) Distribution of T .

(b) P (T > 2).

Reference no: EM13965223

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