(a) Show that for any non-negative random variable X, we have E(X)= P(X > t)dt (b) Let the CDF of X be given by 1-e for r> 0. Find E(X).

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A: We have given that  Sample size n= 3 , p= probability of success =13%=0.14 q= 1- p= 0.87  

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Q: What proportion of 20% defective shipments will be accepted?

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Q: 4. Determine whether the following arguments use inductive or deductive reasoning. Justify your answ...

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A: Our aim is to find the mean , variance , standard deviation and interpret the result.  

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A: We have given that  Sample size n=4 , mean=50 , variance =36 X~N(mu,sigma^2)

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A: Given information: Correlation(X, Y)=0.9648

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A: As per guideline expert have to answer first question only.

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Q: Let A and B be independent events with ​P(A)=13 and ​P(B)=12. Find​ P(A ∩ ​B) and​ P(A ∪ ​B). ​P(A ∩

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Q: Calculate the coefficient of correlation of the distribution. Interpret your results. Compute the co...

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