Question

Let X ? N(10, 16). Find

1. P(X ? 4)

2. P(?1 < X < 17)

3. P(X > 14)

4. P(|X ? 10| > 8)

Answer 1

Lets see how to use the data we have been given to solve our problem. Please don't hesitate to give a "thumbs up" to the answer in case you're satisfied with the answer. 1.

P(X<=4) = P(Z<= 4-10 / 16)

= P(Z<= -6/16)

= P(Z<= -.375)

= .3538

2.

P(-1<X<17)

= P(-1-10/16 < Z< 17-10/16)

= P(-.6875<Z<.4375)

= .6691

3.

P(X>14)

= P(Z> 14-10/16)

= P(Z>.25)

= .4013

4. P(|X-10|>8) = P(|Z| > 8/16) = P(-.5<Z<.5)

= .6915 - .3085

= .3829