Question

Suppose x has a distribution with ? = 39 and ? = 15.

Find P(35 ? x ? 40). (Round your answer to four decimal places.)

Answer 1

Solution:

Given that,

= 39

= 15

p (35 < x  < 40 )

= p( 35 - 39 / 15 ) ( x -  / ) < ( 40 - 39 / 15)

= p ( - 4 / 15 < z < 1 / 15)

= p ( - 0.27 < z < 0.07 )

= p (z < 0.7 ) - p ( z < - 0.27 )

Using z table

= 0.7580 - 0.3936

= 0.3644

Probability = 0.3644