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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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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 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?

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