The lifetimes of a particular brand of DVD player are normally distributed with a mean of eight years and a standard deviation of six months. Find each of the following probabilities where x denotes the lifetime in years. In each case, sketch the probability.
a. P(l ≤ x ≤ 9)
b. P(8.5 ≤ x ≤ 9.5)
c. P(6.5 ≤ x ≤ 7.5)
d. P(x ≥ 8)
e. P(x ≤ 7)
f. P(x ≥ l)
g. P(x ≤ 10)
h. P(x > 10)