The concentration of a reactant is a random variable with probability density function2e-20

Given the probability density function for the random variable, the concentration of a reactant as…

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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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Provide the solution and answer to the continuous problem.
The estimated life of an electronic component (measured in months) follows the probability density function below: .x.e x > 0 f(x) = {4 elsewhere 1. Find the probability that estimated life is greater than 5. 2. Find the mean of the estimated life
Data are obtained on the location of incidents on a 12-kilometer-long bridge. The distribution of the distance along the bridge (in kilometers) where an incident occurs is depicted in the density curve below. 12 Distance (kilometers) along the bridge where an accident occurs 12 1. The probability of an incident that occurs in any 4 kilometers long bridge segment is always distributed over any 4-kilometer interval. A. 1/3, uniformly B. 1/3, not uniformly C. 1/6, uniformly D. 1/2, not uniformly To put it another way, the probability is 2. What is P(9 < X < 12)? 1 Same as P(2 < X < 5). 2. Same as P(2 s X < 5). 3. Same as P(2 < X < 5). 4. Same as P(2 < X < 5). A. 1 B. 1 and 2 C. 2, 3, and 4 D. 1. 2. 3, and 4
Suppose the probability density function for a uniform distribution ranging from 0 to 1. The mean of the random variable X for this distribution is O a. 0.50 O b. 0.75 Ос. 0.25 d. 1.00
2. Consider a gas station's daily sales. Let Y be the volume of gas sold per day in 1000s of gallons. Assume the distribution of Y follows this pdf: 1sxs 2 S (v) . else What value of k is required for the above function to be a valid pdf? b. Verify that the function given is a valid probability density а. function c. Determine the cumulative distribution function (cdf) of the random variable d. Compute the probability that there is exactly 1500 gallons of sales on a given day (Hint: Find?(r - 1.5)) = 1 CO0
C Arandom variable is normally distributed with a mean of μ-50 and a standard deviation ofto=5 a. Which of the following graphs accurately represents the probability density function? A B 40 50 55 σ=5 60 d=5
The probability mass function of the r.v.x is 1 -2 0.15 f(x) = P(X=x) 0.45 0.3 0.10 The standard deviation of x is O A. 1.608 O B. 2.006 OC. 1.469 O D. 1.430
Given the random variable X and its probability density function below find the standard deviation of X. Pr(X) 0.1 0.9 3.
PLS ANSWER D AND E ONLY THANK YOU

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