1. Given a standardized normal distribution (with a mean 0 and a standard deviation of 1),what is the probability thata Z is less than 1.57?b. Z is greater than 1.84?c. Z is between 1.57 and 1.84?d. Z is less than 1.57 or greater than 1.84?(Obtain your answers using Murdoch & Barnes Statistical Table and EXCEL)2. Given a normal distribution with u = 100 and o = 10, what is the probability that a. X >75?b. X< 70?c. X< 80 or X> 110?d. 80% of the values are between what two X values (symmetrically distrībuted around themean)? 3. In a recent year, about two-thirds of U. S. households purchased ground coffee. Consider theannual ground coffe expenditures for households purchasing ground coffee, assuming thatthese expenditures are approximately distributed as a normal random variable with a mean of$45.16 and a standard deviation of $10.00.a. Find the probability that a household spent less than $25.00.b. Find the probability that a household spent more than $50.00.c. What proportion of the households spent between $30.00 and $40.00?d. 99% of the households spent less than what amount?4. A set of final examination grades is an introductory statistics course is normally distributed,with a mean of 73 and a standard deviation of 8.a. What is the probability of getting a grade below 91 on this exam?b. What is the probability that a student scored between 65 and 89?c. The probability is 5% that a student taking the test scores higher than what grade?d. If the professor grades on a curve (that is, gives A's to the top 10% of the class, regardlessof the score), are you better off with a grade of 81 on this exam or a grade of 68 on adifferent exam, where the mean is 62 and the standard deviation is 3? Show your answerstatistically and explain.

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Description: 1. Given a standardized normal distribution (with a mean 0 and a standard deviation of 1),what is the probability thata Z is less than 1.57?b. Z is greater than 1.84?c. Z is between 1.57 and 1.84?d. Z is less than 1.57 or greater than 1.84?(Obtain y

Let X be a continuous random variable follows standard normal distribution with a mean of 0 and a…

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Probability

1. Given a standardized normal distribution (with a mean 0 and a standard deviation of 1), what is the probability that a. Z is less than 1.57? b. Z is greater than 1.84? c. Z is between 1.57 and 1.84? d. Z is less than 1.57 or greater than 1.84? (Obtain your answers using Murdoch & Barnes Statistical Table and EXCEL) 2. Given a normal distribution with u = 100 and o = 10, what is the probability that a. X > 75? b. X< 70? c. X< 80 or X> 110? d. 80% of the values are between what two X values (symmetrically distrībuted around the mean)?

1. Given a standardized normal distribution (with a mean 0 and a standard deviation of 1), what is the probability that a. Z is less than 1.57? b. Z is greater than 1.84? c. Z is between 1.57 and 1.84? d. Z is less than 1.57 or greater than 1.84? (Obtain your answers using Murdoch & Barnes Statistical Table and EXCEL) 2. Given a normal distribution with u = 100 and o = 10, what is the probability that a. X > 75? b. X< 70? c. X< 80 or X> 110? d. 80% of the values are between what two X values (symmetrically distrībuted around the mean)?

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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