The output of a chemical process is continually monitored to ensure that the concentration remains within acceptable limits. Let X be the number of times in each week that the process is calibrated. The probability function, c(x) is given as: c(x) = ,x = 1, 2, 3 A random sample of 34 cases is selected from this population. i. Determine the expected value and variance of sample mean of X. ii. Find the probability that the sample mean is less than 2.4 but is greater than 2.1?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The output of a chemical process is continually monitored to ensure that the concentration remains within
acceptable limits. Let X be the number of times
each week that the process is calibrated. The probability
function, c(x) is given as:
c(a) = ,x = 1, 2, 3
%3D
A random sample of 34 cases is selected from this population.
i.
Determine the expected value and variance of sample mean of X.
ii.
Find the probability that the sample mean is less than 2.4
but is greater than 2.1?
Transcribed Image Text:The output of a chemical process is continually monitored to ensure that the concentration remains within acceptable limits. Let X be the number of times each week that the process is calibrated. The probability function, c(x) is given as: c(a) = ,x = 1, 2, 3 %3D A random sample of 34 cases is selected from this population. i. Determine the expected value and variance of sample mean of X. ii. Find the probability that the sample mean is less than 2.4 but is greater than 2.1?
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