A continuous random variable Z has a probabilitydensity functionf(z) =Find the following:a) P(Z > 1.2)b) P(0.6 ≤ Z≤ 1)(0.25z³, 0≤x≤ 2(0,elsewhere

A continuous random variable Z has a probability density function: f(z)=0.25z30≤x≤20elsewhere

Answered: A continuous random variable Z has a…

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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Q1: Let X be a random variable with probability density function (PDF) given by Find the following: 1) P(x ≤ 1/2) 2) P(x ≥ 0) 3) P(1.2 ≤ x ≤ 2) Compute CDF 4) 5) Plot CDF for 0≤x≤1 2- x, for 1 < x≤2 otherwise x, Mer={2-4. f(x) =
b) The continuous random variable Y has the following probability density function. Pembolehubah rawak selanjar Y mempunyai fungsi ketumpatan kebarangkalian seperti berikut. Jh(3y² +2) ; -2sys2 0 ; otherwise f(y)={ 1 Show that h=- 24 i. 1 Tunjukkan bahawa h=; 24 ii. Based on the value in part (i), find the cumulative distribution function F(y). Berdasarkan nilai dalam bahagian (i), cari fungsi taburan longgokan F(y).
5
Let f(x) = x for 0 < x < 1. Is f(x) a legitimate probability distribution function (pdf) for a continuous random variable? No, the area under f(x) is not 1 (it is greater than 1). Yes, all criteria for a pdf are satisfied. No, the area under f(x) is not 1 (it it less than 1). No, f(x) is not non-negative.
For the given probability density function, over the given interval, find the mean, the variance, and the standard deviation. 36) f(x)== // [12, 20] 36) B) μ = 16; o² = 5.33; o = 2.31 A) μ = 15.5; o2=5.20; o = 2.28 C) μ = 15; o2 = 5.34; o = 2.31 D) μ= 1.6; o2 = 5.24; o=2.29
2. A random variable X has a probability mass function given by: 1 0.2 a. Determine P(x) = 2 b.Find P(X<2) c. Find P(X≥ 3) X P(x) 0 0.1 2 ? 3 0.4
b) A random variable Xhas probability density function. [Cx(1-x), 0≤x≤1 fx(x) = 3 in) Find [x²] 2 i) Find C. ii) Find P CS Scanned with CamScanner 076, elsewhere
A local community college reported that the average SAT score of its students is 960 with a standard deviation of 82. If a student scored 975 on the SAT, what is the student's z score? Did the student do better or worse on the SAT compared to the average student in the college?
5. Suppose that X is a discrete random variable with probability density function p(x) = cx², x = 1, 2, 3, 4. (c) Find Var(X). Select one: O a. 18.4 O b. 354 O c. none O d. 342.8
The probability density function of the discrete random variable x; x = 1,2,3 8 - f(x dd(other cases) olarak tanımla is defined as. Calculate the expected value of x accordingly. O A) 1/6 OB) 2 O C) 7/3 OD) 5/2 OE) 3/5
1. The loss due to a fire in a commercial building is modelled by a random variable X with density function Let X be a random variable with probability distribution table given below 10 20 50 100 P(X=x) | 0.4 | 0.3 | 0.15 | 0.1 | 0.05 Prepare the cdf of X.
b) Suppose that a random variable X has a probability density function given as 0 < x

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A continuous random variable Z has a probability density function f(z) = Find the following: a) P(Z > 1.2) b) P(0.6 ≤ Z≤ 1) (0.25z³, 0≤x≤2 elsewhere (0,