2.Provide an original real-world example of some practical case where we can use the normal distribution to make informed decisions. Include the following components within your response to this part:

(a) Briefly discuss your real-world example.

Consider the following example:

The distribution of IQ scores of children within a local school district is considered to be normally distributed. Let the continuous random variables x denote a child's IQ score.If

= 110 and

= 5, find P( x < 107 ) and P( x > 107).

(b) Identify your mean

and standard deviation

. Your

needs to be about four time larger than your

.

(c) Select any number "a" below or above the

but not too far from it. The magnitude of the difference()

(a)should be less than 3

.

(d) Find P( x < a ). Show all work and discuss how you used the table for the standard normal distribution within the eText to determine this result.

(e) Find P( x > a). Show all work and discuss how you used the table for the standard normal distribution within the eText to determine this result.

For this part, I expect original examples where all of your work is shown. Make sure that you discuss your computed results within the context of your real-world example.