Question

(5 pts) The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with \mu = 9.7 inches and \sigma = 1.7 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 over 8.7 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 12.2 inches: .

(e) Find the probability that the length of a chosen fish was between 8.7 and 12.2 inches:

Answer 1

continuous, because you can get smaller and smaller intervals.

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to each of the Z scores.

Answer 2

jij

Answer 3

234/23