Given a normal distribution with u = 50 and a = 8, and given you select a sample of n= 100, complete parts (a) through (d).a. What is the probability that X is less than 49?P(X<49) =(Type an integer or decimal rounded to four decimal places as needed.)b. What is the probability that X is between 49 and 51.5?P(49 50.6) =D(Type an integer or decimal rounded to four decimal places as needed.)d. There is a 40% chance that X is above what value?x-D(Type an integer or decimal rounded to two decimal places as needed.)Enter your answer in each of the answer boxes.

As per bartleby guideline expert have to answer first there subpart only..

Answered: Given a normal distribution with u = 50…

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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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.3 ppm and standard deviation 1.6 ppm. 6 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected city's waterway will have more than 8.8 ppm pollutants? d. For the 6 cities, find the probability that the average amount of pollutants is more than 8.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? O No Yes Question Help: Written Example Message instructor Submit Question Jump to Answer
The average price of a college math textbook is $156 and the standard deviation is $30. Suppose that 15 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.a. What is the distribution of x¯? x¯~ N(? , ?) b.For the group of 15, find the probability that the average price is between $151 and $156. c.Find the first quartile for the average textbook price for this sample size. $ ? (round to the nearest cent)
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Title A random sample of 36 observations has been drawn from a normal distribution... Description </o:p> A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<></53.>
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