Hello, I need some assistance as I think I obtained the right answers but would like to confirm.

1) X~N (54, 8)

a) Probability that x>56

b) Probability that x<30

c) 80th Percentile

d) 60th Percentile

2) X~N (6, 2)

Between three and nine

3) X~N (4, 5)

Maximum of x in the bottom quartile

4) The life of a Candy CD is normally distributed with a mean of 4.1 years and an SD of 1.3 years. The CD player is guaranteed for three years, though we are interested in the length of time a CD player lasts. What is the probability that a CD player will break during the guarantee period?

a) Sketch the situation and label the and axes. Shade the corresponding probability region.

b) P(0

5) What is the probability a CD player lasts between 2.8 and six years?

a) " "

b) P(?

6) What is the 70th percentile of the time a CD player will last?

a) Sketch the situation and label the axes. Shade the region corresponding to the lower 70%

b) P(x