Consider a random variable X with the following pdf: fx (x) 2/9 1/9- 0 + 3 6 8 a) What is P(X ≤ 5)? (b) Plot Fx(x) (the cdf of X) and clearly label all important values. c) What is E[X]?

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A: Mean = 60 Standard deviation = 10 Normal distribution, 5% students get A 5% students get F 15%…

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A: For the random variables  and , the following information is given:The random variable  is defined…

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A: According to the given information ,P(factory 1) = P(f1) =  0.10P(factory 2) = P(f2) = 0.30P(factory…

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A: Population mean=25Population standard deviation=6.1

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A: μ=1.4,σ=5.1X~N(1.4,5.1)

Q: ind the 95% confidence interval of the true mean of the noise levels in the operating rooms.

A: It is given that Sample mean = 42Sample std. deviation = 11.4Sample size = 7

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A:

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A: Two fair dice are tossed=6×6=36

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A:

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A: P(A)=0.36P(B)=0.24P(C)=0.16P(A and B)=0.11P(A and C)=0.03P(B and C)=0.07P(A and B and C)=0.01

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A: Mean=0Standard deviation=1

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A: If 8 distinct dice are rolled than the possible out comes are 68 .

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A: P(A|B)=P(A,B)P(B)

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A: Mean Standard deviation

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Q: If 90% of the parts produced by a certain machine do not are not defective and which are chosen at…

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