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A uniform distribution is a continuous probability distribution for a random variable x between two values a and b (a

A uniform distribution is a continuous probability distribution for a random variable x between two values a and b (a

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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A uniform distribution is a continuous probability distribution for a random variable x between two values a and b (a <b), where asxsband 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. 1 b-a 1 y= b-a Verify the area under the curve is equal to 1. Choose the correct explanation below. O A. The area under the curve is sum of the maximum and minimum. a + b 0+1=1 OB. (b-a) = 1 The area under the curve is two times the mean. 2- 2 OC. 1 The area under the curve is the area of the rectangle. (b-a) = 1 b-a
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 asxsband 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. 1 b-a 1 y= b-a Verify the area under the curve is equal to 1. Choose the correct explanation below. O A. The area under the curve is sum of the maximum and minimum. a + b 0+1=1 OB. (b-a) = 1 The area under the curve is two times the mean. 2- 2 OC. 1 The area under the curve is the area of the rectangle. (b-a) = 1 b-a
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