Q1) If the probability distribution of X is:
|
X
|
p(X)
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|
3
|
1/8
|
|
4
|
1/8
|
|
5
|
3/8
|
|
6
|
3/8
|
Determine the expected value of X? Find out the variance of X?
2) Machine is made up of three components: upper part, a mid part, and a lower part. Machine is then assembled. 5% of upper parts are defective; 4% of mid parts are defective; 1 percent of lower parts are defective. Determine the probability that machine is non-defective?
Number of items rejected daily by manufacturer as defects for the last 30 days are: 20, 21, 8, 17, 22, 19, 18, 19, 14, 17, 11, 6, 21, 25, 4, 19, 9, 12, 16, 16, 10, 28, 24, 6, 21, 20, 25, 5, 17, 8 give the following descriptive statistics for these data: sample variance, minimum value, range, mean, maximum value, median, mode (if one exists), and sample standard deviation