10). The length, X, of a fish from a particular mountain lake in Idaho is normal

ID: 3059970 • Letter: 1

Question

10). The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with =8.9 inches and =1.4 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 6.9 inches'' in terms of X:

(d) Find the probability that the length of a chosen fish was greater than 10.4 inches:

(e) Find the probability that the length of a chosen fish was between 6.9 and 10.4 inches:

a) X is CONTINUOUS

b) X =6.9

c)P(X=6.9)=0 (as for a probability distirbution point probabilites are 0 ; cause area under the point is 0)

hence probability that the length of a chosen fish was greater than 10.4 inches:

for normal distribution z score =(X-)/ here mean= = 8.9 std deviation == 1.4000

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