A certain industrial process is brought down for recalibration whenever the quality of the items produced falls below specifications. Let X represent the number of times the process is recalibrated during a week and assume that X has the following probability mass function 1 2 3 4 P[X = x] 0.35 0.25 0.20 0.15 0.05 a) Find the mean of X. b) Find the variance and standard deviation of X.

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A certain industrial process is brought down for recalibration whenever the quality of the
items produced falls below specifications. Let X represent the number of times the process is
recalibrated during a week and assume that X has the following probability mass function
1
2
3
4
P X
0.35
0.25
0.20
0.15
0.05
= X
a) Find the mean of X.
b) Find the variance and standard deviation of X.
Transcribed Image Text:A certain industrial process is brought down for recalibration whenever the quality of the items produced falls below specifications. Let X represent the number of times the process is recalibrated during a week and assume that X has the following probability mass function 1 2 3 4 P X 0.35 0.25 0.20 0.15 0.05 = X a) Find the mean of X. b) Find the variance and standard deviation of X.
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