Question

A uniform distribution runs between 10 and 30. Using integration calculate the expected value and the variance of this distribution. Show all your steps with explanations of what you are doing

Name: a uniform distribution runs between 10 and 30 using integration calculate the expected value and the variance of this distribution show all your steps with explanations of what you are doing
Uploaded: 2023-05-31T19:53:18-08:00
Duration: 54 s
Channel: Nick Johnson
Description: a uniform distribution runs between 10 and 30 using integration calculate the expected value and the variance of this distribution show all your steps with explanations of what you are doing

          A uniform distribution runs between 10 and 30. Using integration calculate the expected value and the variance of this distribution. Show all your steps with explanations of what you are doing

Added by Mel A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Nick Johnson

05/31/2023

Step 1

A uniform distribution between 10 and 30 has a constant probability density function (pdf) within this interval. The area under the pdf must be equal to 1 (since the total probability is 1). The width of the interval is 30 - 10 = 20, so the height of the pdf must Show more…

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A uniform distribution runs between 10 and 30. Using integration calculate the expected value and the variance of this distribution. Show all your steps with explanations of what you are doing