The amount of time devoted to studying statistics each week by students who achieve a grade of A in the course is a normally distributed random variable, with a mean of 7.5 hours and a standard deviation of 2.1 hours. Also indicate whether the event is usual or unusual D.  What is the amount of time below which only 5 percent of all A students spend studying  *Please do not solve using Microsoft Excel.  My professor is not teaching using excel.  I would like to see the steps involved to solving the problem for my own study reference for exams.*

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The amount of time devoted to studying statistics each week by students who achieve a grade of A in the course is a normally distributed random variable, with a mean of 7.5 hours and a standard deviation of 2.1 hours. Also indicate whether the event is usual or unusual

D.  What is the amount of time below which only 5 percent of all A students spend studying

*Please do not solve using Microsoft Excel.  My professor is not teaching using excel.  I would like to see the steps involved to solving the problem for my own study reference for exams.*

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Step 1

Let X be the random variable that represents the amount of time devoted by each student to study statistics. It is given that X follows normal distribution with mean = 7.5 hours and standard deviation = 2.1 hours.

It is required to find the value of x1 for P(X < x1) = 0.05

Step 2

The value of x1 can be calculated as follows:

Step 3

In the standard normal table, the z-value corresp...

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