Please help. (d) What is the probability that the lecture continues for at least 90 sec beyond the endof the hour?(e) Find the cdf of X, F(x), and repeat parts (b), (c), and (d) using F(x) instead of f (x). 2. A college professor never finishes his lecture before the end of the hour and alwaysfinishes his lecture within 2 min after the hour. Let X be the time that elapses betweenthe end of the hour and the end of the lecture and suppose the pdf of X is f(x) = kx²for 0

Name: Please help. (d) What is the probability that the lecture continues fo
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Description: Please help. (d) What is the probability that the lecture continues for at least 90 sec beyond the endof the hour?(e) Find the cdf of X, F(x), and repeat parts (b), (c), and (d) using F(x) instead of f (x). 2. A college professor never finishes his l

Answered: 2. A college professor never finishes…

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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Please help.

(d) What is the probability that the lecture continues for at least 90 sec beyond the end
of the hour?
(e) Find the cdf of X, F(x), and repeat parts (b), (c), and (d) using F(x) instead of f (x).

2. A college professor never finishes his lecture before the end of the hour and always
finishes his lecture within 2 min after the hour. Let X be the time that elapses between
the end of the hour and the end of the lecture and suppose the pdf of X is f(x) = kx²
for 0 <x<2 and f(x) = 0 elsewhere.

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The continuous random variable having pdf has the following properties,

$f (x) \geq 0 \forall x, \int_{- \infty}^{\infty} f (x) d x = 1, a n d \int_{b}^{a} f (x) d x = P (a \leq X \leq b) .$

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