a) The probability that X1 – X2 exceeds 3. b) The probability that 4.9 < X1 - X2 < 5.9.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A random sample of size n1 = 15 is selected from a normal population with a mean of 75 and a standard deviation of 9. A second
random sample of size n2 = 9 is taken from another normal population with mean 69 and standard deviation 15. Let X1 and X2 be the
%3D
two sample means. Find:
(a) The probability that X - X2 exceeds 3.
(b) The probability that 4.9 < X – X2 < 5.9.
Round your answers to two decimal places (e.g. 98.76).
(a) i
(b)
Transcribed Image Text:A random sample of size n1 = 15 is selected from a normal population with a mean of 75 and a standard deviation of 9. A second random sample of size n2 = 9 is taken from another normal population with mean 69 and standard deviation 15. Let X1 and X2 be the %3D two sample means. Find: (a) The probability that X - X2 exceeds 3. (b) The probability that 4.9 < X – X2 < 5.9. Round your answers to two decimal places (e.g. 98.76). (a) i (b)
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