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)
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)
A First Course in Probability (10th Edition)
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F841b4f5c-28a4-4ed8-a73d-c3fcc6803b8d%2Fba4a894b-fa7b-49c2-a3e9-df2884add8a4%2Fff15agw_processed.jpeg&w=3840&q=75)
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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