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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 66E
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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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