Choose a point at random in (0,1), then this point divides the interval (0,1) into two subintervals. What is the expected length of the subinterval covering a given point s with 0 < s < 1?

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Q: Assume that X has the distribution N (10, 4), find:   P (Z > - 3)     P (11.36 < X < 16)

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 4 X~N (10, 4)

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Q: Let X₁, X2,..., Xn be independent chi-square distribution with degrees of freedom 71, 72,...,n, that…

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Q: 3, 5x 60(x 2 + x;), 3 b) Y = In 7.

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Q: Q1)The function f(x)=x(x-6)^2 satisfies both hypotheses of the Mean Value Theorem on the interval…

A: Q1)The function f(x)=x(x-6)^2satisfies both hypotheses of the Mean Value Theorem onthe interval…

Q: Assume a member is selected at random from the population represented by the graph. Find the…

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Q: The waiting time for the arrival of a bus at a stop is uniformly distributed in the interval [0,…

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Q: Example 6-19. From a point on the circumference of a circle of radius 'a', a chort drawn in a random…

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Q: If the P(A) = 1/2, the P(B) = 3/8, and the P(A and B) = 1/16, what is the P(A or B)? (SHOW WORK)

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Q: With usual notations, find p for a Binomial variate X, if n=6 and 9P(X=4)=P(X=2)

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Q: Identify the distributions (and their parameters) whose moment-generating functions are given below.…

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Q: ) If you take the bus each morning and evening for a week, what is your total expected waiting time?…

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Q: Let X ~ Poisson(10). a) Find P(X >= 7). b) Find P(X = 7).

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Q: Let P(x) denote the probability of the occurrence of event x. Plot all those points (x, y) = (P(A),…

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Q: Continuous variable X is uniformly distributed on the interval [7.5, 32.6]. What is its interquartil

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Q: Let Xn be a random variable and mn be a median of Xn, n =1,2,.... Show that if Xn →d X for a random…

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Q: Given the random variable x- f(x)=ae for x20. Estimate the moment generating function of x.

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