A random sample of size n; - 13 is selected from a normal population with a mean of 75 and a standard deviation of 7. A second random sample of size n2 - 6 is taken from another normal population with mean 69 and standard deviation 13. Let X1 and X2 be the two sample means. Find: (a) The probability that X – X2 exceeds 3. (b) The probability that 4.7

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A random sample of size ng - 13 is selected from a normal population with a mean of 75 and a standard deviation of 7. A second
random sample of size n2 - 6 is taken from another normal population with mean 69 and standard deviation 13. Let X1 and X, be the
two sample means. Find:
(a) The probability that X – X2 exceeds 3.
(b) The probability that 4.7 < X1 – X2 < 5.5.
Round your answers to two decimal places (e.g. 98.76).
(a)
(b)
Transcribed Image Text:A random sample of size ng - 13 is selected from a normal population with a mean of 75 and a standard deviation of 7. A second random sample of size n2 - 6 is taken from another normal population with mean 69 and standard deviation 13. Let X1 and X, be the two sample means. Find: (a) The probability that X – X2 exceeds 3. (b) The probability that 4.7 < X1 – X2 < 5.5. Round your answers to two decimal places (e.g. 98.76). (a) (b)
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