Answered: i). What proportion of female cats have…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Weights of female cats of a certain breed are normally distributed with mean 4.1 kg and standard deviation 0.6 kg.

(i). What proportion of female cats have weights between 3.7 and 4.4 kg? .

(ii). 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?.

(iii). How heavy is a female cat whose weight is on the 80th percentile?.

(iv). A female cat is chosen at random. What is the probability that she weighs more than 4.5 kg? .

(v). Five female cats are chosen at random. What is the probability that exactly one of them weighs more than 4.5 kg? .

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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