A random sample of sizeng = 15 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second randomsample of size ng = 6 is taken from another normal population with mean 69 and standard deviation 14. Let X1and X2 be the twosample means. Find:(a) The probability that X1 - X2 exceeds 3.(b) The probability that 4.8 < X – X2 < 5.9.Round your answers to two decimal places (e.g. 98.76).(a)(b)i

After finding the distribution of difference of meams, apply standard normal distribution

Answered: A random sample of sizeng = 15 is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q3: PVC pipe is manufactured with a mean diameter of 1.01 inch and a standard deviation of 0.003 inch. Find the probability that a random sample of n = 9 sections of pipe will have a sample mean diameter greater than 1.009 inch and less than 1.012 inch. (2000
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -1.967°C and 0.422°C. P(-1.967 Next Question
The average age of all employees is 25 years, and the standard deviation of the ages of all employees is 3 years. Suppose 100 employees are randomly selected.
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An elevator has a play card stating that the maximum capacity is 1980 pounds 12 passengers so 12 adult male passages can have a mean way of up to 1180÷12 = 165 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 165 lb. Assume that weights of males are normally distributed with a mean of 172 pounds and a standard deviation of 27 pounds. Does this elevator appear to be safe?
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