The amount of time, in minutes, that a person must wait for a taxi is uniformly distributed between 1 and 30 minutes, inclusive.Find the probability density function, f(x).1/3O 1/141/221/29O 1/30O 1

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Answered: The amount of time, in minutes, that 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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Let X be a random variable whose probability density function is plotted below. If one was to generate X by passing a uniform (0, 1) random variable through a function, then what function would you use? (your answer should be a function of x). 0.9- 0.8- 0.7- 0.6- 0.5 qula Snip 0.4 0.3- 0.2- 0.1 -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 0
Exercise 06.27 Algo (Exponential Probability Distribution) Consider the following exponential probability density function. a. Which of the following is the formula for P(x ≤ xo)? 1 P(x ≤ xo) = e *0 200 2 P(x ≤ xo) = 1 -e¯î 3 P(x ≤ xo) = = 1-e-20 - Select your answer - b. Find P(x ≤ 2) (to 4 decimals). c. Find P(x4) (to 4 decimals). d. Find P(x ≤ 5) (to 4 decimals). e. Find P(2 ≤ x ≤ 5) (to 4 decimals). Icon Key f(x) = 1/2 e for x ≥ 0
A random variable X has the probability density function of the attached graph (see attached photo): a) What is the expected value of X? b) Compute P(-500 < X < -250).
A shop receives a shipment of 1000 lamps. The probability that any individual lamp is defective is 0.2%. Assume the defectiveness is independent of cach lamp. Let X be the number of defective lamps in the batch of 1000. What is the probability mass function of X? O P(X = k) = (00) 0.002* (1 – 0.002)1000 , k = 0,1, 2, ..., 1000 O P(X = k) = 0.002* (1 – 0.002)1000–&, k = 0, 1, 2, .….., 1000 O P(X = k) = (1000) 0.002* (1 – 0.002)1000 , k = 1, 2, ..., 1000 O P(X = k) = (00)0.002100- (1 – 0.002)*, k = 0, 1, 2, ..., 1000
Exercise 06.27 Algo (Exponential Probability Distribution) Consider the following exponential probability density function. a. Which of the following is the formula for P(x ≤ xo)? 20 1 P(x ≤ xo) = e 2 x0 2 2 P(x ≤ xo) = 1 - e 3 P(x ≤ xo) = 1−e¯¤o Formula #2 ♦ b. Find P(x ≤ 2) (to 4 decimals). Ⓡ c. Find P(x ≥ 4) (to 4 decimals). x d. Find P(x ≤ 6) (to 4 decimals). e. Find P(2 ≤ x ≤ 6) (to 4 decimals). f(x) = = 12 e 2 for x ≥ 0 ◄ Question 10 of 16 ► Hint(s) Check My Work
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The amount of time, in minutes, that a person must wait for a taxi is uniformly distributed between 1 and 30 minutes, inclusive. Find the probability density function, f(x). O 1/3 O 1/14 O 1/22 O 1/29 O 1/30 O 1