Let Xbe a random variable with probability distribution as shown below: -1

Q: Q1) A discrete random variable x has the probability distribution p(X = k) for occurrence of x as…

A: We have given a discrete random variable.x       0  1    2   3  p(x)   k  2k 3k 4kWe have to…

Q: Let X be a random variable that takes values -2, -1, 0, 1, 2; each with probability 1/5. Let Y = X?.…

A: Since you have posted a question with multiple sub parts, according to our guidelines we can solve…

Q: discrete random variable X has the following probability distribution.  x 0 1 2 3 P(X=x) q 4p2 p…

A: The provided probability distribution is, x 0 1 2 3 P(X=x) q 4p2 p 0.7 - 4p2

Q: The discrete random variable X has the probability function kx, k(x-2), 0, x = 2, 4,6 x = 8 P(X = x)…

A: Given a probability density function of Discrete random variable X , we need to find k and F(5)

Q: Suppose the p.d.f. of random variable X is defined as x³/20 if1<x< 3 f(x) = otherwise

A:

Q: 1 1 3 4 P(x) 1/5 Find d and construct a probability histogram to describe P(x). d/25 9/25 2d/25 2/25

A:

Q: A student stays at home. Let event N = the student watches Netflix. Let event Y = the student…

A:

Q: Let X be a random variable and f a Borel function. Suppose that f (X) is not a.s. constant. Is it…

A: Here X is a random variable and f is a Borel function. Lets suppose that f(X) is not a constant. Let…

Q: 8 A discrete random variable X has the following probability distribution. 2 3 4 P(X = x) 3c 4c Sc…

A: i) The total probability is always 1.  So, 3c+4c+5c+6c=1  or, 18c=1or, c=118

Q: Determine the value c so that each of the following functions can serve as a probability…

A: For any probability mass functionp(x)≥0∑xp(x)=1

Q: Given that b>a, determine the value of k that results in the following function being a probability…

A: Following conditions should be met for the distribution to be probability distribution.