Let x denote the lifetime (in thousands of hours) of a certain type of fan used in diesel engines. The density curve of x is as pictured below.50 €(a) Shade the area under the curve corresponding to the probability that the lifetime is at least 25,000 hours.00024252450(b) Shade the area under the curve corresponding to the probability that the lifetime exceeds 25,000 hours.0502500255050ⓇO⁰25255050Ⓡ0⁰Oo26265050C

Given that ;X shows the lifetime (in thousands hours) of a certain type fan. The density curve of x…

Answered: Letx denote the lifetime (in thousands…

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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The table below shows an incomplete probability density function for X , the number of imperfections per batch of jeans that just came off a production line. What should the missing probability be? Provide the final answer as a decimal. x P(X = x) 0 0.88 1 0 2
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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
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Question 2. A continuous random variable, X has the following probability density function: S(x) = cx² 0sxs10 = 0 otherwise a) Find the value of c. b) Find the mean, median, mode, standard deviation and coefficient of variation. c) Find the probability that X is greater than 3.0 given that X is between 2.0 and 5.0.
37
Please complete each portion
Assume that the variable under consideration has a density curve. The area under the density curve that lies to the right of 20 is 0.368. a. What percentage of all possible observations of the variable exceed 20? b. What percentage of all possible observations of the variable are at most 20? a. ___________% (Type an integer or a decimal.) b. ___________% (Type an integer or a decimal.)
Question 2 The probability density function of the reliability of a piece of equipment is given by: a x)= a(162 – x²³) (x)=(a/1 16-x³ 0
A random phenomenon results in a number in the range of −2 to +2. All numbers in the range are equally likely, so the density curve is flat. What is the height of the curve? Explain your answer.

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