Homework Help is Here – Start Your Trial Now!
Math
Probability
Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and shade in the area that corresponds to the probability of interest. 1) Z~ Norm(0, 1), find Pr(Z < 1.78) 2) Z~ Norm(0, 1), find Pr(Z > 1.96) 3) Z Norm(0, 1), find Pr(-2.34 ≤Z< 1.45) 4) Z Norm(0, 1), find Pr(Z < -0.67) 5) Z Norm(0, 1), find Pr(Z = 2.3) 6) Z~ Norm(0, 1), find Pr(Z > -2.98) Do the same for the following below. Note however that they are no longer Standard Normal Distributions. 7) X~ Norm(266, 162), find Pr(X<200) 8) X~ Norm(-2, 52), find Pr(-4 < X <-3) 9) X~ Norm(-2, 5²), find Pr(X=-3) 10) X Norm(64.4, 2.42), find Pr(|X|>70)

Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and shade in the area that corresponds to the probability of interest. 1) Z~ Norm(0, 1), find Pr(Z < 1.78) 2) Z~ Norm(0, 1), find Pr(Z > 1.96) 3) Z Norm(0, 1), find Pr(-2.34 ≤Z< 1.45) 4) Z Norm(0, 1), find Pr(Z < -0.67) 5) Z Norm(0, 1), find Pr(Z = 2.3) 6) Z~ Norm(0, 1), find Pr(Z > -2.98) Do the same for the following below. Note however that they are no longer Standard Normal Distributions. 7) X~ Norm(266, 162), find Pr(X<200) 8) X~ Norm(-2, 52), find Pr(-4 < X <-3) 9) X~ Norm(-2, 5²), find Pr(X=-3) 10) X Norm(64.4, 2.42), find Pr(|X|>70)

A First Course in Probability (10th Edition)
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...
See similar textbooks
icon
Related questions
Question

Please do #7 and graph it on a piece of paper 

 

 

 

3

Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and shade in the area that corresponds to the probability of interest. 1) Z Norm(0, 1), find Pr(Z≤ 1.78) 2) Z~ Norm(0, 1), find Pr(Z > 1.96) 3) Z Norm(0, 1), find Pr(-2.34 ≤Z< 1.45) 4) Z~ Norm(0, 1), find Pr(Z < -0.67) 5) Z Norm(0, 1), find Pr(Z = 2.3) 6) Z~ Norm(0, 1), find Pr(Z > -2.98) Do the same for the following below. Note however that they are no longer Standard Normal Distributions. 7) X~ Norm(266, 162), find Pr(X<200) 8) X~ Norm(-2, 52), find Pr(-4 < X <-3) 9) X~ Norm(-2, 5²), find Pr(X=-3) 10) X~ Norm(64.4, 2.42), find Pr(|X| >70)
Transcribed Image Text:Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and shade in the area that corresponds to the probability of interest. 1) Z Norm(0, 1), find Pr(Z≤ 1.78) 2) Z~ Norm(0, 1), find Pr(Z > 1.96) 3) Z Norm(0, 1), find Pr(-2.34 ≤Z< 1.45) 4) Z~ Norm(0, 1), find Pr(Z < -0.67) 5) Z Norm(0, 1), find Pr(Z = 2.3) 6) Z~ Norm(0, 1), find Pr(Z > -2.98) Do the same for the following below. Note however that they are no longer Standard Normal Distributions. 7) X~ Norm(266, 162), find Pr(X<200) 8) X~ Norm(-2, 52), find Pr(-4 < X <-3) 9) X~ Norm(-2, 5²), find Pr(X=-3) 10) X~ Norm(64.4, 2.42), find Pr(|X| >70)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 17 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

for number 7 I got 0.00002

Solution
Bartleby Expert
SEE SOLUTION