Question

The height of persons is normally distributed with mean 61 inches and variance 25.

        It is known that 1.39% are taller persons. The height of the shortest person among the

       taller persons will be

        a. 5.5 feet                             

        b. 6.0 feet                          

        c. 6.5 feet                       

        d. 7.0 feet

Answer 1

Let , X be the height of the person in inches.

Here ,

Now ,

...........(I)

From standard normal distribution table , ...............(II)

From (I) and (II) , we get ,

inch

Therefore , the height of the shortest person among the taller persons will be 72 inch=6.0 feet