The density function of X is given by a + bæ? if 0 < x <1 f(x) %3D otherwise If the expectation of X is E(X) = 0.5, find a and b. a =

Q: Suppose f(x)=3x2, 0<x<1 is a density function of X.  Find P(1/2<X<2).

A: We have given that,  Let x is a random variable having probability density function is,  f(x) =…

Q: A random variable T has density function f(t) = kt. sin (t), 0stSA Compute E(T)

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Q: A density function f is defined by { f(x) = c(1-x) c(x-1) 0 for 0 < x < 1, for 1 < x < 2, otherwise.…

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Q: 1. The density function of X is given by f(x)=², 1≤1≤b. == If median is e³, find a and b.

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Q: Find E(X)

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Q: (c) At a bus stop, there are two buses available (bus numbers 1 and 2). For i = 1, 2, the waiting…

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Q: Q6. Consider the probability density function fex) = {C A if x>1 Inx %3D X2 otherwise . Ca) Find C.…

A: Given function f(x)=clnxx2if x≥100therwise find c find Px≥3

Q: 1) Show that the given function is a pdf (Probability Density Function) Q6 f(x) = = e7, [0, In4]

A: The probability density function is ∫-∞∞f(x)dx=1 if Pa≤x≤b=∫abf(x)dx and f(x)≥0 if the function is a…

Q: Suppose the density function of Y is defined as, 3 s(9) = (1- y²), 0sysı Calculate expectation of Y.…

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Q: b) Find the marginal probability density function of Y, fy (y).

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Q: Find the density of Z = X − Y for independent Exp(λ) random variables X and

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Q: The density function of X is given by If the expectation of X is E(X) = 0.5625, find a and b. a 15 b…

A: Given the density function of X is,And E(X) = 0.5625

Q: In a certain community, levels of air pollution may exceed federal standards for ozone or for…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Find the cumulative distribution function for Y if its density is f(y) = { 0, S 2(1 – 1/y²), 1 1.5).

A: Solution: From the given information, the probability density function of Y is

Q: The density function of X is:  f(x) = c·x2 ·( 1 - x ).  Calculate the mode of X.

A: The density function of X is: f(x) = c·x2 ·( 1 - x ).  Calculate the mode of X.

Q: The density function of X is given by ļ a + bx? if 0 < x < 1 f(x) = otherwise If the expectation of…

A: Given that the density function of X is fx=a+bx2         if   0≤x≤10                   otherwise And…

Q: Find the distribution function and density function of Y = sinX, where X is distributed uniformly…

A: Solution-: Find the distribution function and density function of Y = sinX, where X is distributed…

Q: a. What is a? b. What is E(X)? C. What is Var(X)?

A: Here given probability density function of random variable.

Q: At a restaurant, the density function for the time a customer has to wait before being seated is…

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Q: The conditional probability density function of Y, given that X=x for some x>0, takes the following…

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Q: Let X denote 0.025 × the ambient air temperature (˚C) and let Y denote the time (min) that it takes…

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