4. Find the mean of the probability distribution of the random variable X, which 10 P(2) = 33 and P(3) . can take only the values 1, 2, and 3, given that P(1) %3D 3

Q: a) Find the value of k, b) Form the table of probability distribution of X, c) Find the mean and…

A: here given discrete probability distribution of x p(x) = kx2    for x= 1,2,3,4 here use total…

Q: Exercise 4. Let = {a,b,c,d} and define a probability measure on 22 by P(a) = P(c) = 1/6 and P(b) =…

A: c) To verify that E(X|Y) is a function of Y, we need to show that the value of E(X|Y) only depends…

Q: 2. The random variable X, representing the number of cherries in a cherry puff, has the following…

A: Probability distribution

Q: Let X be a random variable with mean 6 and variance 3. Let Y be the random variable counting the…

A: Given that  E(X) = 6 , V(X) = 3 Let Y be the random variablecounting the number of times the number…

Q: 6. A discrete random variable can assume 5 possible values, as listed in the accompanying…

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Q: A random variable x can have five values: 0, 1, 2, 3, 4, 5. The probability distribution is:   x 0…

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Q: Exercise 4. A discrete random variable X has the following probability distribution: 13 18 20 24 27…

A: The given data is  xi 13 18 20 24 27 p(xi) 0.22 0.25 0.20 0.17 0.16 The formula for the mean…

Q: Find the CDF of an exponential random variable with mean 1/λ .

A: Solution

Q: weight of 810 pounds or more? Which of the following connects the probability of the random variable…

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Q: Suppose x is a normally distributed random variable with u = 31 and o = 6. Find a value xo of the…

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Q: Suppose x is a normally distributed random variable with u= 28 and o = 5. a. P(x 2xg) = 5 b. P(x…

A: Suppose X is normally Distributed Random Variable with mean  μ=28 and Standard Deviation σ=5Given…

Q: Suppose two independent discrete random variables X₁ and X2. Both follow a discrete distribution…

A: It is given that: PX1=1=PX2=1=p1=0.5PX1=2=PX2=2=p2=0.3PX1=3=PX2=3=p3=0.2 The variables X1 and X2 are…

Q: Question 9. Suppose that W, X, and Y are independent normal random variables, each with mean u= 0…

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Q: Let X be a binomial random variable with parameters n = 20 and p ( p is intentionally not given in…

A: From the provided information, Sample size (n) = 20 Since the value of p is not provided therefore,…

Q: 2) Given, f(x)= (2x+1)/ 25, x= 0, 1, 2, 3, 4 Determine the mean and variance of the random variable.

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Q: Find the value of p and work out P(2< X <5).

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Q: 5. A discrete random variable can assume 5 possible values, as listed in the accompanying…

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Q: Suppose that the​ time, in​ hours, required to repair a heat pump is a random variable X having a…

A: Given that, α=2 ; β=12 P(X≤2) can be computed using Excel function [ = GAMMA.DIST(2,2,12,TRUE) ]…