An animal shelter has kittens and adult cats available for adoption. Suppose that 30% of all cats are kittens. Probability of adoption for a kitten is 0.8, whereas the probability of adoption for an adult cat is only 0.6. On the other hand, 20% of all cats are black and the probability of adoption for a black cat is 0.1. (a) What is the probability of adoption for a randomly chosen cat? (b) If a cat is adopted, what is the probability that it is a kitten? (c) What is the probability of adoption for a non-black cat? (d) Is the adoption chances of a cat is dependent on its coloring? Justify your answer mathematically.

An animal shelter has kittens and adult cats available for adoption. Suppose that 30% of all cats are kittens. Probability of adoption for a kitten is 0.8, whereas the probability of adoption for an adult cat is only 0.6. On the other hand, 20% of all cats are black and the probability of adoption for a black cat is 0.1. (a) What is the probability of adoption for a randomly chosen cat? (b) If a cat is adopted, what is the probability that it is a kitten? (c) What is the probability of adoption for a non-black cat? (d) Is the adoption chances of a cat is dependent on its coloring? Justify your answer mathematically.

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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