2. Let X be a random variable with normal distribution having µ=30.9 and o²=8.41. A random sample of 15 items was taken. Calculate a, b, c, d (a) Pr ( -as Z sa )= 0.95 (b) Pr ( -b

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2. Let X be a random variable with normal
distribution having µ=30.9 and o²=8.41. A
random sample of 15 items was taken.
Calculate a, b, c, d
(a) Pr ( -a< Z <a )= 0.95
(b) Pr ( -b<Z ) = 0.05
(c) Pr ( -c< X-u <c ) = 0.95
(d) Pr ( X-µzd ) = 0.05
%3D
Transcribed Image Text:2. Let X be a random variable with normal distribution having µ=30.9 and o²=8.41. A random sample of 15 items was taken. Calculate a, b, c, d (a) Pr ( -a< Z <a )= 0.95 (b) Pr ( -b<Z ) = 0.05 (c) Pr ( -c< X-u <c ) = 0.95 (d) Pr ( X-µzd ) = 0.05 %3D
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