Refer to Exercise 4.133. Find the following probabilities: a. P(20≤x≤ 30) b. P(20 < x≤ 30) c. P(x ≥30) d. P(x ≥ 45) e. P(x ≤ 40) f. P(x < 40) g. P(15 ≤ x ≤ 35) h. P(21.5 x = 31.5) 4.133 Suppose x is a random variable best described by a uniform = 20 and d = 45. probability distribution with c a. Find f(x). b. Find the mean and standard deviation of x. Graph f(x) and locate and the interval c. μl 20 on the graph. Note that the probability that x assumes a value within the interval u 20 is equal to 1.
Refer to Exercise 4.133. Find the following probabilities: a. P(20≤x≤ 30) b. P(20 < x≤ 30) c. P(x ≥30) d. P(x ≥ 45) e. P(x ≤ 40) f. P(x < 40) g. P(15 ≤ x ≤ 35) h. P(21.5 x = 31.5) 4.133 Suppose x is a random variable best described by a uniform = 20 and d = 45. probability distribution with c a. Find f(x). b. Find the mean and standard deviation of x. Graph f(x) and locate and the interval c. μl 20 on the graph. Note that the probability that x assumes a value within the interval u 20 is equal to 1.
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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Transcribed Image Text:**Refer to Exercise 4.133. Find the following probabilities:**
a. \( P(20 \leq x \leq 30) \)
b. \( P(20 < x \leq 30) \)
c. \( P(x \geq 30) \)
d. \( P(x = 45) \)
e. \( P(x = 40) \)
f. \( P(x < 40) \)
g. \( P(15 \leq x \leq 35) \)
h. \( P(21.5 \leq x \leq 31.5) \)
**4.133** Suppose \( x \) is a random variable best described by a uniform probability distribution with \( c = 20 \) and \( d = 45 \).
a. Find \( f(x) \).
b. Find the mean and standard deviation of \( x \).
c. Graph \( f(x) \) and locate \( \mu \) and the interval \( \mu - 2\sigma \) on the graph. Note that the probability that \( x \) assumes a value within the interval \( \mu - 2\sigma \) is equal to 1.
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