Chi-Square Distribution | variance chi square distribution
4.2.1.LetYhaveachi-squaredistributionwith15degreesoffreedom.Findthefollowingprobabilities.(a)P(Y ≤ y0) = 0.025.(b)P(a
Let Y have a chi-square distribution with 15 degrees of freedom. Find the following probabilities.
(a)P(Y ≤ y0) = 0.025.
(b)P (a < Y < b) = 0.95.
(c)P(Y ≥ 22.307).
4.2.2.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).
4.2.3.The time to failure T of a microwave oven has an exponential distribution with pdf:
f(t)=12e−t/2,t>0.
If three such microwave ovens are chosen and t¯ is the mean of their failure times, find the following:
(a)Distrib...