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)
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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