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4.134 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)

4.134 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)

MATLAB: An Introduction with Applications
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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part a, b, and e 

### Exercise 4.134: Probability Calculation 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. \( P(x \geq 45) \) e. \( P(x \leq 40) \) (Note: The exercise likely builds on a prior exercise or dataset, so refer back to Exercise 4.133 for additional context and information.)
Transcribed Image Text:### Exercise 4.134: Probability Calculation 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. \( P(x \geq 45) \) e. \( P(x \leq 40) \) (Note: The exercise likely builds on a prior exercise or dataset, so refer back to Exercise 4.133 for additional context and information.)
**4.133** Suppose \( x \) is a random variable best described by a uniform probability distribution with \( c = 20 \) and \( d = 45 \). In this scenario, the random variable \( x \) follows a uniform distribution, which means that every value between \( c = 20 \) and \( d = 45 \) is equally likely to occur. The uniform distribution is characterized by a flat probability density function, indicating constant probability across the interval. The endpoints \( c \) and \( d \) represent the minimum and maximum values, respectively. In such distributions, calculations such as the mean and variance follow specific formulas and provide useful insights into the data range and spread.
Transcribed Image Text:**4.133** Suppose \( x \) is a random variable best described by a uniform probability distribution with \( c = 20 \) and \( d = 45 \). In this scenario, the random variable \( x \) follows a uniform distribution, which means that every value between \( c = 20 \) and \( d = 45 \) is equally likely to occur. The uniform distribution is characterized by a flat probability density function, indicating constant probability across the interval. The endpoints \( c \) and \( d \) represent the minimum and maximum values, respectively. In such distributions, calculations such as the mean and variance follow specific formulas and provide useful insights into the data range and spread.
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