The length, $X$, of a fish from a particular mountain lake in Idaho is normally distributed with $\mu = 7.6$ inches and $\sigma = 1.6$ inches.

(a) Is $X$ a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS)
ANSWER:

(b) Write the event ''a fish chosen has a length equal to 6.6 inches'' in terms of $X$: .

(c) Find the probability of this event:

(d) Find the probability that the length of a chosen fish was greater than 10.1 inches: .

(e) Find the probability that the length of a chosen fish was between 6.6 and 10.1 inches: .