B.1) Let the random variable X represent the number of cars that are used for official business purposes on any given workday. The probability distribution for company A is PA(x) 0.3 0.4 03 and for company B is 3 4 Pg(x) 0.2 0.1 0.3 0.3 0.1 If daily records of car usage are examined on randomly selected 36 days from company A and 40 days from company B, find th probability that the difference between sample means of company A and B is reater than 0.6.

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Chapter1: Combinatorial Analysis
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B.1) Let the random variable X represent the number of cars that are used for official business purposes on any given workday.
The probability distribution for company A is
1
PA(X)
0.3
0.4
03
and for company B is
1
2
3
4
PB(x)
b.2
0.1
0.3
0.3
0.1
If daily records of car usage are examined on randomly selected 36 days from company A and 40 days from company B, find the
probability that the difference between sample means of company A and B is greater than 0.6.
B.2) Two different analytical tests can be used to determine the impurity level in steel alloys. Eight specimens are tested using
both procedures, and the results are shown in the following tabulation.
Specimen
Test-1
Test-2
1
1.2
1.4
1.3
1.7
3
1.5
1.5
4
1.4
1.3
1.7
2.0
6
1.8
2.1
7
1.4
1.7
8
1.3
1.6
Find the 95% confidence interval for the mean difference of the tests, and explain it.
Transcribed Image Text:B.1) Let the random variable X represent the number of cars that are used for official business purposes on any given workday. The probability distribution for company A is 1 PA(X) 0.3 0.4 03 and for company B is 1 2 3 4 PB(x) b.2 0.1 0.3 0.3 0.1 If daily records of car usage are examined on randomly selected 36 days from company A and 40 days from company B, find the probability that the difference between sample means of company A and B is greater than 0.6. B.2) Two different analytical tests can be used to determine the impurity level in steel alloys. Eight specimens are tested using both procedures, and the results are shown in the following tabulation. Specimen Test-1 Test-2 1 1.2 1.4 1.3 1.7 3 1.5 1.5 4 1.4 1.3 1.7 2.0 6 1.8 2.1 7 1.4 1.7 8 1.3 1.6 Find the 95% confidence interval for the mean difference of the tests, and explain it.
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