The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with μ=8.4 inches and σ=1.5 inches. (a) Is X a discrete or continuous random variable? (Type: DISCRETE or...

The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with μ=8.4 inches and σ=1.5 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 of less than 5.4 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 9.4 inches:

(e) Find the probability that the length of a chosen fish was between 5.4 and 9.4 inches: