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)
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Chapter1: Combinatorial Analysis
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do #7 and #9 please and graph them on a pencil and paper 

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)
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