Q1. Let X; and S be the mean and variance of independent random samples of size n; from populations with mean H; and variance o? (i = 1, 2), respectively where u, = 20. of = 9, n = 36 and µ2 = 18, ož = 16, n, = 49. Find - %3D %3D a) P(X, > 20.98) b) x such that P(X,< x) = 0.025) c) P(S? > 12.8062)

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Q1. Let X; and S be the mean and variance of independent random samples of size ni from
populations with mean H; and variance of (i = 1,2), respectively where u, = 20. of =
9, n1 = 36 and u2 = 18, ož = 16, n2 = 49. Find (-
a) P(X, > 20.98)
b) x such that P(X, < x) = 0.025)
c) P(S? > 12.8062)
d) si such that P(S} > s3) = 0.80
e) P(X1 – X2 > 0.2336)
n P(SE/S글 > 0.8368)
%3D
Transcribed Image Text:Q1. Let X; and S be the mean and variance of independent random samples of size ni from populations with mean H; and variance of (i = 1,2), respectively where u, = 20. of = 9, n1 = 36 and u2 = 18, ož = 16, n2 = 49. Find (- a) P(X, > 20.98) b) x such that P(X, < x) = 0.025) c) P(S? > 12.8062) d) si such that P(S} > s3) = 0.80 e) P(X1 – X2 > 0.2336) n P(SE/S글 > 0.8368) %3D
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