It has been stated that 40% of Maine Coon cats are polydactyl.2 It has also been stated that 35% of Maine Coons are brown tabbies, 12% are solid color, 15% are bicolor, and 18% are calico. (a) What is the probability that if you choose 12 unrelated Maine Coon cats randomly, 7 will be polydactyl? (b) What is the probability that if you choose 15 unrelated Maine Coon cats randomly, 8 will be brown tabbies, 2 will be solid color, 1 will be calico, and none will be bicolor? (c) If you choose 12 unrelated Maine Coon cats, what are the expected number and the standard deviation of cats that are not brown tabbies?
It has been stated that 40% of Maine Coon cats are polydactyl.2 It has also been stated that 35% of Maine Coons are brown tabbies, 12% are solid color, 15% are bicolor, and 18% are calico. (a) What is the probability that if you choose 12 unrelated Maine Coon cats randomly, 7 will be polydactyl? (b) What is the probability that if you choose 15 unrelated Maine Coon cats randomly, 8 will be brown tabbies, 2 will be solid color, 1 will be calico, and none will be bicolor? (c) If you choose 12 unrelated Maine Coon cats, what are the expected number and the standard deviation of cats that are not brown tabbies?
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
It has been stated that 40% of Maine Coon cats are polydactyl.2 It has also been stated that 35% of Maine Coons are brown tabbies, 12% are solid color, 15% are bicolor, and 18% are calico.
(a) What is the
(b) What is the probability that if you choose 15 unrelated Maine Coon cats randomly, 8 will be brown tabbies, 2 will be solid color, 1 will be calico, and none will be bicolor?
(c) If you choose 12 unrelated Maine Coon cats, what are the expected number and the standard deviation of cats that are not brown tabbies?
Expert Solution
Step 1
Given information:
P(Polydactyl) = 0.40
P(Non-Polydactyl) = 0.60
Color | P(x) |
Brown | 0.35 |
Solid | 0.12 |
Bicolor | 0.15 |
Calico | 0.18 |
Other | 0.20 |
Sum | 1.0 |
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