3. Let X be a random variable on the set {0, 1, 2} with the following pdf:P(x) =(c) Find the value of P(X ≤ 2).3(d) Compute P(2 ≤ X ≤ 17).2020291if x =20₁(a) What is the value of y?(b) Draw a graph of the cdf of X, or the cumulative distribution function ofX.if x = 1,y if x = 2.

let X be a discrete random variable with probability mass function given asP(x)={1/10if x=04/10if…

Answered: 3. Let X be a random variable on the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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d) The random variable X has a Poisson distribution such that P(X= 0) = P(X = 1). Calculate P(X = 2).
Let A1, A2, . . . , A100 be a random sample from a uniform distribution on the interval(0,1). Let B = A1 + A2 + . . . + A100. 1. Let A¯ = B/100. Find P(2 < A¯ < 2.15).
Let X1 ,X be a random sample from N(u, o?). The sample variance S2 is defined by (X- %3D n-1 im1 (n-1)S2 (a) Using the fact that two constants a and b satisfying: has a xn-1) distribution, explain how we can get (n-1)S2 S6 =1-a, (1) where a xo/2(n-1) and b xa/2(n-1) are critical values that can be obtained from a x-table. %3D
Let X be a random variable with a uniform distribution over the interval (-10, 4]. Compute P(X > -1.4) [The answer should be a number rounded to five decimal places, don't use symbols such as %) Compute Fx(-0.1). [The answer should be a number rounded to five decimal places, don't use symbols such as %)
Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)
What is the variance of Y_k+1
Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter 0 > 0 is defined by F(x; θ) - 1-el x > 0 i) What is the expected value of X,E(X)? ii) What is the variance of X,V(X)?
Suppose that X is a discrete random variable with the probability mass function given by: where i = 1,2,3 .8 36 a) Plot p(x) b) Compute and plot F(x) c) Compute (i) P (2.9999
If a discrete random variable X has the following probability distribution: X -2, - 1, 0, 1, 2 P(X) 0.2, 0.3, 0.15, 0.2, 0.15 Use this to find the following: (a) The mean of X and E[X^2]. (b) The probability distribution for Y = 2X^2 + 2 (i.e, all values of Y and P(Y )). (c) Using part (b) (i.e, the probability distribution forY ), find E[Y ]. (d) Using part (a), verify your answer in part (c) for E[Y ]. **Note: Please do not just copy from Chegg!
Let X be a random variable with a uniform distribution over the interval [-2 , 4]. Determine the mean of X. The answer should be a number rounded to five decimal places
X is a random variable such that X ~ B(n, p) where mean is 2 and 3 variance is . Find the probability of X is not less than 7. 2
5. Assume that X is a discrete random variable with cumulative distribution function (cdf) F(x) given below. F(X) 0-8 0.b t0.2 -2 2 3 ->

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3. Let X be a random variable on the set {0, 1, 2} with the following pdf: P(x)= 10 10 (c) Find the value of P(X ≤ 2). (d) Compute P(0 ≤X ≤7). Y if x = 0, if x = 1, = 2. (a) What is the value of y? (b) Draw a graph of the cdf of X, or the cumulative distribution function of X.