Weights of female cats of a certain breed are normally distributed with mean 4.1 kg and

Chapter 4, Problem 8

(choose chapter or problem)

Weights of female cats of a certain breed are normally distributed with mean

\(4.1 \mathrm{~kg}\) and standard deviation \(0.6 \mathrm{~kg}\).

a. What proportion of female cats have weights between \(3.7 \text { and } 4.4 \mathrm{~kg}\)?

b. A certain female cat has a weight that is 0.5 standard deviations above the mean. What proportion of female cats are heavier than 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

\(4.5 \mathrm{~kg}\)?

e. Six female cats are chosen at random. What is the probability that exactly one of them weighs more than \(4.5 \mathrm{~kg}\)?

Equation Transcription:

Text Transcription:

4.1 kg

0.6 kg

3.7 and 4.4 kg

4.5 kg

4.5 kg