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AJACW22
Group Title
Suppose x is normally distributed random variable with μ = 12 and σ =2. Find each of the following probabilities.
a. P (x ≥ 13.5) b. P (x ≤ 8) c. P (12.62 ≤ x ≤ 16.54) d. P (7.02 ≤ x ≤ 15.32)
 one year ago
 one year ago
AJACW22 Group Title
Suppose x is normally distributed random variable with μ = 12 and σ =2. Find each of the following probabilities. a. P (x ≥ 13.5) b. P (x ≤ 8) c. P (12.62 ≤ x ≤ 16.54) d. P (7.02 ≤ x ≤ 15.32)
 one year ago
 one year ago

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oldrin.bataku Group TitleBest ResponseYou've already chosen the best response.0
They just want you to find Zscores and look up the probabilities in tables. e.g. for the first, find the area to the right of \(Z\) where $$Z=\frac{13.512}2=\frac{1.5}2=0.75$$You can determine the area to the left and subtract from 1.
 one year ago

oldrin.bataku Group TitleBest ResponseYou've already chosen the best response.0
(b) just wants the area to the left of \(Z=(812)/2=4/2=2\). Use your table. For (c) and (d), they want the area between two \(Z\):dw:1370722148193:dw
 one year ago

AJACW22 Group TitleBest ResponseYou've already chosen the best response.0
Oldrin, I don't have a solid background in Algebra or statistics. So i have problems working these problems out. I would not know how to get these anwers to c. and d. without a step by step.
 one year ago

AJACW22 Group TitleBest ResponseYou've already chosen the best response.0
The answer they have for a and b are 0.227 and 0.023?
 one year ago

oldrin.bataku Group TitleBest ResponseYou've already chosen the best response.0
Okay. For (c), first find the appropriate \(Z\) scores:$$Z_1=\frac{12.6212}2=\frac{0.62}2=0.31\\Z_2=\frac{16.5212}2=\frac{4.52}2=2.26$$We want the area between the two. Graphically, you can see this is the difference in their respective lefttails:dw:1370722767214:dw
 one year ago

oldrin.bataku Group TitleBest ResponseYou've already chosen the best response.0
So find the areas to the left of \(Z=2.26\) and \(Z=0.31\) in your table. Find their difference.
 one year ago
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