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The time it takes Alice to commute to UCSD is a Gaussian random variable X with...

The time it takes Alice to commute to UCSD is a Gaussian random variable X with a mean of 30 minutes and a standard deviation of 3 minutes. a. What is the probability that Alice’s commute to UCSD takes at least 36 minutes? P X > 36 = b. With probability 0.9, Alice’s commute to campus takes more than 30− ∆ minutes but less than 30 + ∆ minutes. What is the value of ∆? ∆ = Note: In this problem, it is OK to provide approximate answers. Use the table of Φ(·), which is the CDF of the standard Gaussian random variable, given on the next page.

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Answer #1

You haven't provided the CDF table for Z-score of Gaussian Random Variable mentioned in the question. So in part 'b' of question use exact value for   if you have that in the table.

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