a) b) O P(X>Y+1), a constant c such that P standard deviation of X, X-3 S

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Suppose that the random variables X₁,...,X§ and ΂…...‚Y are random sample
from independent normal distributions N(3,8) and N(3,15), respectively.
Calculate
a)
b)
P(X>Ỹ+1),
a constant c such that P
standard deviation of X,
-=-3³ < c) =
c)-09
S
= 0.95 where S is a sample
a constant c such that P(S<c)=0.95 where S is as in (b).
Transcribed Image Text:Suppose that the random variables X₁,...,X§ and ΂…...‚Y are random sample from independent normal distributions N(3,8) and N(3,15), respectively. Calculate a) b) P(X>Ỹ+1), a constant c such that P standard deviation of X, -=-3³ < c) = c)-09 S = 0.95 where S is a sample a constant c such that P(S<c)=0.95 where S is as in (b).
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