and all of the values of x are equally likely to occur. The graph of a uniform distribution is shown to the right. The probability density function of a uniform distribution is shown below. Show that the probability density function of a uniform distribution satisfies the two conditions for a probability density function. y = Verify the area under the curve is equal to 1. Choose the correct explanation below. A. b-a O B. The area under the curve is the area of the rectangle. (b-a) (b-a) 2 OC. The area under the curve is sum of the maximum and minimum. a+b=0+1=1 The area under the curve is two times the mean. 2- b²a): = 1 = 1 1 b-a Show that the value of the function can never be negative. Choose the correct explanation below. OA. The numerator of the probability density function is 1, so the function must always be positive. OB. The denominator of the probability density function is always positive because a 0, therefore the function must always be positive. OC. The value of b-a is less than one, therefore the value of the function must always be greater than 1.
and all of the values of x are equally likely to occur. The graph of a uniform distribution is shown to the right. The probability density function of a uniform distribution is shown below. Show that the probability density function of a uniform distribution satisfies the two conditions for a probability density function. y = Verify the area under the curve is equal to 1. Choose the correct explanation below. A. b-a O B. The area under the curve is the area of the rectangle. (b-a) (b-a) 2 OC. The area under the curve is sum of the maximum and minimum. a+b=0+1=1 The area under the curve is two times the mean. 2- b²a): = 1 = 1 1 b-a Show that the value of the function can never be negative. Choose the correct explanation below. OA. The numerator of the probability density function is 1, so the function must always be positive. OB. The denominator of the probability density function is always positive because a 0, therefore the function must always be positive. OC. The value of b-a is less than one, therefore the value of the function must always be greater than 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:A uniform distribution is a continuous probability distribution for a random variable x between two values a and b (a <b), where a ≤x≤b
and all of the values of x are equally likely to occur. The graph of a uniform distribution is shown to the right. The probability density
function of a uniform distribution is shown below. Show that the probability density function of a uniform distribution satisfies the two
conditions for a probability density function.
y =
Verify the area under the curve is equal to 1. Choose the correct explanation below.
A.
1
b-a
O B.
The area under the curve is the area of the rectangle. (b-a)
(b-a)
2
OC. The area under the curve is sum of the maximum and minimum. a+b=0+1=1
The area
the curve
times the mean. 2-
(b-a)=
= 1
= 1
1.
b-a
Show that the value of the function can never be negative. Choose the correct explanation below.
O A. The numerator of the probability density function is 1, so the function must always be positive.
OB. The denominator of the probability density function is always positive because a <b, so b-a>0, therefore the function must always be positive.
OC. The value of b - a is less than one, therefore the value of the function must always be greater than 1.
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