1. (1 point) The cumulative distribution function for a ran- dom variable X is: 2 Calculate...
1. (1 point) The cumulative distribution function for a ran- dom variable X is: 2 Calculate the following probabilities: Pr(1.5 3X < 4.3) - Pr(2.3 3X < 4.6)- Answer(s) submitted: (incorrect) 2. (1 point) The cumulative distribution function for a ran dom variable X is: 64 64 63 63x2 Find the corresponding density function f(x) Answer: f(x)- Answer(s) submitted: (incorrect) 3. (1 point) Compute the cumulative distribution function F(x) corresponding to the density function 2 37) Answer: F(x)- Answer(s) submitted:...
he cumulative distribution function (cdf), F(z), of a discrete ran- om variable X with pmf f(x) is defined by F(x) P(X < x). Example: Suppose the random variable X has the following probability distribution: 123 45 fx 0.3 0.15 0.05 0.2 0.3 Find the cdf for this random variable
1. A random variable X has the cumulative distribution function exe F(X) = 1 + ex • Find the probability density function • Find P(0 < X < 1)
Let X be a random variable with cumulative distribution function(a) Find the probability density function fX(x), (b) Find the moment generating function MX(s) for s < 3, (c) Find the mean and variance of X.
The cumulative distribution function for a continuous random variable X is given by 0, S 0 F(x) = 1, r 21. (a) Find the density fx for X. (b) Find the mean ? and variance ?2 for X.
By specifying its probability function,px, and a random variable X with cumulative distribution function:FX(t) =8>>>>>>>>><>>>>>>>>>:0; t <31=3;3t <41=2;4t <52=3;5t <61; t6Calculate Pr(3X4).
12. (15 points) Let X be a continuous random variable with cumulative distribution function 0, <a Inz, a<<b 1, bsa (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function S(x) for X. (d) Find E(X)
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F() = 0, <a Inx, a < x <b 1, b<a (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
Can you please solve 7 and 8.
Thank you
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Question 3: Let X be a continuous random variable with
cumulative distribution function FX (x) = P (X ≤ x). Let Y = FX
(x). Find the probability density function and the cumulative
distribution function of Y .
Question 3: Let X be a continuous random variable with cumulative distribution function FX(x) = P(X-x). Let Y = FX (x). Find the probability density function and the cumulative distribution function of Y