2-4.5 A random variable X has a probability density function of the form a) Find the value of a. fx(x) = ax² 0≤x≤2 = ax 2 < x <3 b) Find the mean of the random variable X. c) Find the probability that 2 < x ≤ 3.

Q: A discrete random variable X has a Geometric distribution with E(X) = 1.5. Calculate P(X > 5). %3D

A: It is given that the mean is 1.5.

Q: The table below shows a probability density function far the discrete random variable X, the number…

A: The question is about discrete probability distribution Given :   To find : Prob. that X is 1, 2 or…

Q: =) Find u and o.

A:

Q: f(x) 0.5

A: It is an important part of statistics. It is widely used.

Q: station sells during that day. If the joint density of X and Y is given by 1 200 00vio elsewhere for…

A:

Q: a) P(x = 0) = b) P(x1) = c) P(x < 4) = (Round to four decimal places as needed.) (Round to four…

A: According to the Bartleby guidelines experts solve only one question and rest can be reposted.

Q: A random variable X has the cumulative distribution function as below: Find its mean. 0 -12-²² x² -…

A: Answer:- Given, the cumulative distribution function of X is                F(x) = 0x &lt;…

Q: 8. (a) Let f(x) be the pdf of a random variable X. if-2 ≤ x < 0 if 0 < x < 1 x² - 4x + 4 if 1 ≤ x ≤…

A: Farmula used P(X≤x)=F(x)

Q: 2-2.2 A random variable has a probability distribution function given by Fx(x) = 0 = 0.5 + 0.5x…

A: The CDF of X is :Formula Applicable:P(a&lt;X&lt;b)=P(X&lt;b)−P(X&lt;a)F(x)=P(X≤a)

Q: 2-2.2 A random variable has a probability distribution function given by Fx(x)=0 = 0.5+0.5x = 1 -1 •…

A: Given CDF: The cumulative distribution function (CDF) FX​(x) is defined as:…

Q: B) Suppose two dice are tossed. Let X be the sum of the dots on the top faces of the two dice. Find…

A: The problem can be solved using the concept of expectation and PMF.

Q: A random variable X has the cumulative distribution function. Calculate the Expected Value of X…

A: Answer: - Given, the CDF of X is                 F(x)   x2-2x+221≤x&lt;21x≥2                    Find…

Q: a) A random variable is continuous. For any value a, P(X =a)~0 always. b) A standard normal curve…

A:

Q: triangular probability density I, if 0<x <1, f(x) = 2 – x, if 1<x < 2, 0, otherwise. Part a) Find…

A: The distribution function of X wen it lies between 0 and 1 will be:

Q: A probability density function of a random variable is given by f(x) = expected value, the variance,…

A: Step 1: E(x) calculation  Step 2:v(x) calculation  Step 3: sd calculation  Step 4: final result in…

Q: please show step by step explanation. Thank you.

A: The formula of distribution function F(X) is,

Q: a) Find the value of constant a. b) Find P[X < 3]. c) Find the probability that X is odd. d) Find…

A: Solution

Q: Consider the linear probability model: Yi = β0 + β1Xi + Ui   Furthermore, suppose that the true…

A: a) To show that E(u|X) = 0, we need to take the expectation of the regression equation and the…

Q: P(-∞ < x≤ a₁₂) = P(a₁ ≤ x ≤ a₂) = P(a₂ ≤ x ≤ a3) = P(a3 ≤ x < ∞) = function p(x) a₁ = = 1 π(1 + x²)…

A:

Q: 3. Let the random variable X have the pdf f(x) = 2(1-x), 0 ≤ x ≤ 1, zero elsewhere. a) Find the cdf…

A: pdf is f(x)=2(1-x); 0≤x≤1