Suppose that 1(10,4) XN and 2(5,9) XN are two independent random variables. Let 1232YXX=+and find:a) The mean and variance of,Ya.()________yEYμ≡=b.2()________yVYσ≡=b) The distribution____________Yc) The probability:Pr(48.5)________ Suppose that X-N(10,4) and X2 - N(5,9) are two independent randomvariables. Let Y=3x+2x2 and find:a) The mean and variance of Y,a. u,=E(Y)=.b. σ =V(Y)=b) The distribution Y-c) The probability: Pr(Y≤48.5)=

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Suppose that X-N(10,4) and X2 - N(5,9) are two independent random variables. Let Y=3x+2x2 and find: a) The mean and variance of Y, a. u,=E(Y)=. b. σ =V(Y)= b) The distribution Y- c) The probability: Pr(Y≤48.5)=

Suppose that X-N(10,4) and X2 - N(5,9) are two independent random variables. Let Y=3x+2x2 and find: a) The mean and variance of Y, a. u,=E(Y)=. b. σ =V(Y)= b) The distribution Y- c) The probability: Pr(Y≤48.5)=

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Suppose that 1(10,4) XN and 2(5,9) XN are two independent random variables. Let 1232YXX=+and find:
a) The mean and variance of
,Y
a.
()________yEYμ≡=
b.
2()________yVYσ≡=
b) The distribution
____________Y
c) The probability:
Pr(48.5)________

Suppose that X-N(10,4) and X2 - N(5,9) are two independent random
variables. Let Y=3x+2x2 and find:
a) The mean and variance of Y,
a. u,=E(Y)=.
b. σ =V(Y)=
b) The distribution Y-
c) The probability: Pr(Y≤48.5)=

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Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.78. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.78? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: ? < 4.78; H1: ? = 4.78H0: ? = 4.78; H1: ? ≠ 4.78 H0: ? = 4.78; H1: ? < 4.78H0: ? = 4.78; H1: ? > 4.78H0: ? > 4.78; H1: ? = 4.78 (b) What sampling…