7-2.Let f(x) = a(e-2x - e-3x), for x > 0, and f(x) = 0 elsewhere.(a) Find a so that f(x) is a probability density function.noiteluolso or I baed yd snobLutowo (b) What is P(X < 1)?suaal us for ai omit noiteluols otel

The PDF of X is given below,The question required to calculate the value of a, if f(x) is the…

Answered: 7-2. Let f(x) = a(e-2x - e-3x), for x >…

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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2. The number of minutes a flight from Phoenix to Tucson is early or late is a random variable whose 1 (36– x*) for-6
Consider the function SC(2x – a³), 0< x < (0, otherwise. fx(x) Could fx(x) be a probability density function? If so, determine C. Repeat if fx(x) were given by SC(2x – a²), 0 < x < { fx(x) = [ 0, otherwise.
1 Find the probabilities that the length of a randomly selected petal will be as 2/x The length of a petal on a certain flower varies from 2.56 cm to 6.76 cm and has a probability density function defined by f(x) = follows. a. Greater than or equal to 3.4 cm b. Less than or equal to 3 cm c. Between 3 cm and 3.4 cm
Which of the following tables shows a valid probability density function? Select all correct answers. Select all that apply: x P(X=x) 0 0.6 1 0.01 2 0.14 x P(X=x) 0 310 1 110 2 25 x P(X=x) 0 18 1 14 2 58 x P(X=x) 0 0.13 1 0.09 2 0.45 3 0.27 4 0.06 x P(X=x) 0 −15 1 310 2 12 3 310 4 110 x P(X=x) 0 12 1 18 2 38
Question 34. Let X be a random variable with probability density function Sžr², re (0,3), f(r) = else. Which of the following statements are correct? I a) The expected value of X is . b) The probability of X < 1 is . c) The probability of X € [0,0.5] is . d) The probability of X = 1 is zero.
You are given the probability distribution function (PDF) of a continuous random variable X is fX(x). Let Y be a continuous random variable such that Y = aX + b, where a and b are non-zero real constants.1. Find the PDF of Y in terms of fX , a, and b.2. Let X be an exponential random variable with parameter λ. When will Yalso be an exponential random variable? 3. Let X be a normal random variable with mean μ and variance σ2 . Whenwill Y also be a normal random variable?
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Question 2.1 The joint probability function of X and Y is given by f(x, y) = (1/20) * (x + 3y)for 1 < x < 3 and 0 < y < 2. Find; a. P (0 < x < 2)

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7-2. Let f(x) = a(e-2x - e-3x), for x > 0, and f(x) = 0 elsewhere. 1 grim (a) Find a so that f(x) is a probability density function. noiteluolso o baed yd s lute wo (b) What is P(X ≤ 1)? oureal me ton ai omit noitslunte