The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with μ= 9 inches and σ= 1.1 inches. Please round z-scores to 2 decimal places and give probabilities to at least 4 decimal places. (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 6 inches'' in terms of X:

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The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with μ= 9 inches and σ= 1.1 inches. Please round z-scores to 2 decimal places and give probabilities to at least 4 decimal places.

(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 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 the length of 10 inches: 

 

(e) Find the probability that the length of a chosen fish was between 6 and 10inches: 

 
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