2) Consider a standard normal random variable X and Y~Exp(ß = 1). If W = 2Y and √2x √W' then a) State with parameter(s) the probability distribution of Z. b) Find the mean and variance of Z. c) Compute the probability that Z is at most 6.97. Z =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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2)
d) Find the value of t and p if P(t < Y < y) = 0.99.
Consider a standard normal random variable X and Y~Exp(ß = 1). If W = 2Y and
√2x
then
Z =
a)
b)
State with parameter(s) the probability distribution of Z.
Find the mean and variance of Z.
c) Compute the probability that Z is at most 6.97.
1
d)
1000
Find the value of τ if P(Z > t) :
=
3) Suppose that X~x²(v) and Y~x²(n). If µx = 6, o²y = 16 and W
a) State with parameter(s) the distribution of W.
4X
3Y
Ơ
V
= then
Transcribed Image Text:K 2) d) Find the value of t and p if P(t < Y < y) = 0.99. Consider a standard normal random variable X and Y~Exp(ß = 1). If W = 2Y and √2x then Z = a) b) State with parameter(s) the probability distribution of Z. Find the mean and variance of Z. c) Compute the probability that Z is at most 6.97. 1 d) 1000 Find the value of τ if P(Z > t) : = 3) Suppose that X~x²(v) and Y~x²(n). If µx = 6, o²y = 16 and W a) State with parameter(s) the distribution of W. 4X 3Y Ơ V = then
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Y~exp(β=1)

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