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 differend between sample means of company A and B is greater than 0.5.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Group B: Solve only one; 25p each.
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
2
3
PA(X)
0.4
0.4
02
and for company B is
1
2
3
4
PB(X)
0.1
0.1
0.4
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 0.5.
Transcribed Image Text:Group B: Solve only one; 25p each. 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 2 3 PA(X) 0.4 0.4 02 and for company B is 1 2 3 4 PB(X) 0.1 0.1 0.4 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 0.5.
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