# Scores of the first test in Econ 261 follow a normal distribution with mean 70 and standard deviation 5. Compute the following probabilities.P(55 ≤ X ≤ 65) is:

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Scores of the first test in Econ 261 follow a normal distribution with mean 70 and standard deviation 5. Compute the following probabilities.

P(55 ≤ X ≤ 65) is:

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Step 1

Let X be the score of the first test in Econ. X follows normal distribution with mean 70 and standard deviation 5.

The probability of 55 ≤ X ≤ 65 can be found as,

Step 2

Using the Excel formula, ‘=NORM.DIST(65,70,5,TRUE)’, the value of P(X≤65) =0.158655.

Using the Excel formula, ‘=NORM.DIST(55,70,5,TRUE)’, the value of P(X≤55) =0.00135.

Step 3

Therefore...

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