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(Z2-2.98) 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(Z2-2.98) 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)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 34CR
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do 7-10
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc11810c9-3aba-424b-965a-9d4a091edf9a%2F14f9400b-e208-4c71-892d-2dbebb4f7011%2F7fds4r_processed.jpeg&w=3840&q=75)
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)
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