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Suppose x is a random variable best described by a uniform probability distribution with c= 10 and d= 25. a. Find f(x). b. Find the mean and standard deviation of x. c. Graph f(x) and locate u and the interval u + 20 on the graph. Note that the probability that x assumes a value within the interval u + 20 is equal to 1. a. Find f(x). Choose the correct answer below. 1 1 O A. f(x) = (10

Suppose x is a random variable best described by a uniform probability distribution with c= 10 and d= 25. a. Find f(x). b. Find the mean and standard deviation of x. c. Graph f(x) and locate u and the interval u + 20 on the graph. Note that the probability that x assumes a value within the interval u + 20 is equal to 1. a. Find f(x). Choose the correct answer below. 1 1 O A. f(x) = (10

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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A,B and C

Suppose \( x \) is a random variable best described by a uniform probability distribution with \( c = 10 \) and \( d = 25 \). a. Find \( f(x) \). b. Find the mean and standard deviation of \( x \). c. Graph \( f(x) \) and locate \( \mu \) and the interval \( \mu \pm 2\sigma \) on the graph. Note that the probability that \( x \) assumes a value within the interval \( \mu \pm 2\sigma \) is equal to 1. **a. Find \( f(x) \). Choose the correct answer below.** - \( \circ \) **A.** \( f(x) = \frac{1}{15} \quad (10 \leq x \leq 25) \) - \( \circ \) **B.** \( f(x) = \frac{1}{15} \quad (10 \leq x) \) - \( \circ \) **C.** \( f(x) = \frac{1}{10} \quad (0 \leq x \leq 25) \) - \( \circ \) **D.** \( f(x) = \frac{1}{10} \quad (25 \leq x) \)
Transcribed Image Text:Suppose \( x \) is a random variable best described by a uniform probability distribution with \( c = 10 \) and \( d = 25 \). a. Find \( f(x) \). b. Find the mean and standard deviation of \( x \). c. Graph \( f(x) \) and locate \( \mu \) and the interval \( \mu \pm 2\sigma \) on the graph. Note that the probability that \( x \) assumes a value within the interval \( \mu \pm 2\sigma \) is equal to 1. **a. Find \( f(x) \). Choose the correct answer below.** - \( \circ \) **A.** \( f(x) = \frac{1}{15} \quad (10 \leq x \leq 25) \) - \( \circ \) **B.** \( f(x) = \frac{1}{15} \quad (10 \leq x) \) - \( \circ \) **C.** \( f(x) = \frac{1}{10} \quad (0 \leq x \leq 25) \) - \( \circ \) **D.** \( f(x) = \frac{1}{10} \quad (25 \leq x) \)
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