(a) Find the conditional probability of Y=0 given X=1 (b) Find the expected value of X

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A: From the provided information, The expected value of X can be obtained as: Here p(x) is the…

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A: Here, n= 20 and α=0.01. As the direction of H1 is "not equal to", this is a two tailed test.

Q: The probability mass function of a discrete random variable is shown in the following table: What…

A: Here, x P(x) x.P(x) -1 0.1 -0.1 0 0.3 0 2 0.35 0.7 4 0.25 1 Total   1.6

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A: Given  X~Bin(n=3, p=0.80)

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A: (a) We know that  ∑X=04P[X=x] = 1, hence    k=116  answer P(0<X<4) = P[X=1] + P[X=2] + P[X=3]…

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Q: If, in a sample of n = 20 selected from a normal population, X= 53 and S=12, what are the critical…

A: here given ,  n = 20  sample mean  = 53 sample standard deviation  =  12  alpha  = 0.01

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A: Checbyshev’s inequality: For any random variable X having mean µ and variance σ2,

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A: according to question number of class third graders=11 number of class fourth graders=9 total number…