3. A quality control plan for an assembly line involves sampling n = 10 finished items per day and counting Y, the number of defectives. If p denotes the probability of observing a defective, then Y has a binomial distribution, assuming that a large number of items are produced by the line. But p varies from day to day and is assumed to have a uniform distribution on the interval from 0 to 1/4. Find the expected value and variance of Y.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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p3

10 finished items per
3. A quality control plan for an assembly line involves sampling n =
day and counting Y, the number of defectives. If p denotes the probability of observing
a defective, then Y has a binomial distribution, assuming that a large number of items
are produced by the line. But p varies from day to day and is assumed to have a uniform
distribution on the interval from 0 to 1/4. Find the expected value and variance of Y.
Transcribed Image Text:10 finished items per 3. A quality control plan for an assembly line involves sampling n = day and counting Y, the number of defectives. If p denotes the probability of observing a defective, then Y has a binomial distribution, assuming that a large number of items are produced by the line. But p varies from day to day and is assumed to have a uniform distribution on the interval from 0 to 1/4. Find the expected value and variance of Y.
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