A random variable X has the following distribution:XP(X=x)-1.301.52Let Y=X². Find the expected value of random variable Y.0.380.654O-1

The given probability distribution of variable X is as follows:x-101P(X=x)0.30.50.2The random…

Answered: A random variable X has the following…

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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Indicate whether each of the statements below is True or False. No explanation is needed. i If random variable X has a larger expected value than random variable Y then it must also have a larger variance. ii Let random variable X be the height of a random CS5002 student in feet and X' be the height of a student from the same group in millimeters?, The variance of X' is greater than the variance of X. iii For every positive a, b eR there exists an no such that: n > no → an³ > bn² 'Unless you have made arrangements with the Professor prior to the start of this exam 2 Assume that not all students have the same height 1 Use the function definitions immediately below for the next 3 problems: f(n) = 3n log10 n + 5 g(n) = 99999 log3 n h(n) = .00001 logą n+.0000001n? iv f(n) = 0(h(n)) v g(n) = 0(h(n)) vi f(n) = 2(g(n)) vii An undirected graph on n nodes with at least ()/2 edges must be connected.
Find E(X), Var(X), and the standard deviation of X, where X is the random variable whose probability table is given in the table below. Outcome 1 2 3 1 1 Probability 5 5 What is the expected value of the random variable X associated with the probability table given in the problem statement? E(X) = 12 5 (Type an integer or a simplified fraction.) What is the variance of the random variable X? Var(X) = (Type an integer or a simplified fraction.) 35 ■ . = C (-) Moro
Let be a normally-distributed random variable with mean u= 100 and variance 2 = 16: Select which statement is true. P(94 < X< 106) = 0.68 approximately. P(92 < X< 108) = 0.68 approximately. P(86 < X<114) = 0.68 approximately. none of these P(96 < X< 104) = 0.68 approximately.
Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given in Table P(x) 3 0.05 4 0.40 5 0.30 6 0.15 7 0.10 Table a. In words, define the random variable X. b. What does it mean that the values zero, one, and two are not included for x in the PDF?
x f(x) 20 0.10 25 0.20 30 0.25 35 0.15 40 0.10 a. What is the probability that the firm will obtain 40 or more new clients? b. What is the probability that the firm will obtain fewer than 35 new clients? c. find expected vaule= variance= standard deviation =
Please be specific.
Let X be the random variable with the following distribution: x: 1 2 3 4 5 P(X=x): k 0.04 0.3 0.2 0.3 Find the mean four decimal places
# Consider a random variable X with the expected value of 5 and E (X²) = 40. Calculate the variance of X. 15 i 9
Suppose that X₁,..., Xn are i.i.d. from a normal population with mean μ and variance o². Calculate the expected value and the variance of the sample mean X and find the distribution of √n(X − µ).
Assume X and Y are independent random variables with X ~ Binomial(n =100, p = 0.2) and Y ~ Pascal(m =16, p = 2/3) . Find the indicated expected value and variance. a. E(3X + 2Y +1) b. Var(3X + 2Y +1)
Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. X P(X) 0²= J = 1 4 5 12 17 0.14 0.09 0.13 0.57 0.07 What is the expected value of X?
X-X Z= Z-score: Variance: σ ²=Σ(x-4)²P For questions 1 - 4, answer the questions about discrete random variables. Find the mean of the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 1 2 3 4 5 X 3 4 5 6 7 P(x) 0.3 0.2 0.1 0.3 0.1 P(x) 0.1 0.2 0.3 0.15 0.25 1 2 Find E(X) for the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 0 2 4 6 8 X 1 4 5 6 8 P(x) 0.1 0.1 0.1 0.2 0.5 P(x) 0.2 0.2 0.2 0.3 0.1 3

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A random variable X has the following distribution: X P(X=x) -1 0 1 .3 .5 2 Let Y=X². Find the expected value of random variable Y. 0.38 0.6 0.5 0.4 0-1