a. What proportion of female cats have weights between 3.7 and 4.4 kg? b. A certain female cat has a weight that is 0.5 standard above the mean. What proportion of female cats are heavier that this one? c. How heavy is a female cat whose weight is on the 80th percentile? d. A female cat is chosen at random. What is the probability that she weighs more than 4.5 kg?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Weights of female cats of a certain breed are normally distributed with mean 4.2 kg
and standard deviation 0.5 kg.
a. What proportion of female cats have weights between 3.7 and 4.4 kg?
b. A certain female cat has a weight that is 0.5 standard above the mean. What proportion of female
cats are heavier that this one?
c. How heavy is a female cat whose weight is on the 80th percentile?
d. A female cat is chosen at random. What is the probability that she weighs more than 4.5 kg?
e. Six female cats are chosen at random. What is the probability that exactly one of them weights
more than 4.5 kg?

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