Let X be a standard normal random variable. Find P(-1.20 < X < 1.74). Express yo

Q: Let X be a standard normal random variable. Find P(-1.20 < X < 1.74). Express yo

(1) Data given: Mean, m = 0 Standard Deviation, S = 1 At X = -1.20, we have: z = (X-m)/S = (-1.20-0)/1 = -1.2 The corresponding p-value for this z-score is: p1 = 0.115 At X = 1.74, we have: z = (X-m)/S = (1.74-0)/1 = 1.74 The corresponding p-value for this z-score is: p2 = 0.959 So the reqd probability is: p = p2-p1 = 0.959-0.115 = 0.844 Hope this helps !

ID: 3065765 • Letter: L

Question

Let X be a standard normal random variable. Find P(-1.20 < X < 1.74). Express your answer as a decimal.

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Explanation / Answer

(1)

Data given:

Mean, m = 0

Standard Deviation, S = 1

At X = -1.20, we have:

z = (X-m)/S = (-1.20-0)/1 = -1.2

The corresponding p-value for this z-score is:

p1 = 0.115

At X = 1.74, we have:

z = (X-m)/S = (1.74-0)/1 = 1.74

The corresponding p-value for this z-score is:

p2 = 0.959

So the reqd probability is:

p = p2-p1 = 0.959-0.115 = 0.844

Hope this helps !

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Let X be a standard normal random variable. Find P(-1.20 < X < 1.74). Express yo

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