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 3) Z 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) Norm(0, 1), find Pr(Z > 1.96) Norm(0, 1), find Pr(-2.34 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 3) Z 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) Norm(0, 1), find Pr(Z > 1.96) Norm(0, 1), find Pr(-2.34 70)
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![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%2F46796d54-86c4-40da-949e-b08a83a9f689%2Fieqix2n_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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VIEWStep 2: Calculate probability P(Z<=1.78)
VIEWStep 3: Calculate probability P(Z>1.96)
VIEWStep 4: Calculate Probability P(-2.34<=Z<=1.45)
VIEWStep 5: Calculate probability P(Z<=-0.67)
VIEWStep 6: Calculate probability P(Z=2.3)
VIEWStep 7: Calculate probability P(Z>=-2.98)
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