14) For his birthday party, Madonna's 3 students bought him a cake cut into 10 slices. a) How many ways are there to distribute 10 identical cake slices among 4 people, if each person gets at least 2 slices? (133) b) How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice cream cake and the other is red velvet cake? (83) 15) Suppose that one person in 3,000 people has a genetic disease. There is an excellent test for the disease. 99.1% of people with the disease test positive and only 0.02% who do not have the disease test positive. a) What is the probability that someone who tests positive has the genetic disease? (Round to 3 decimals). 0.713 b) What is the probability that someone who tests negative does not have the disease? (Round to 6 decimals), 0.999566

14) For his birthday party, Madonna's 3 students bought him a cake cut into 10 slices. a) How many ways are there to distribute 10 identical cake slices among 4 people, if each person gets at least 2 slices? (133) b) How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice cream cake and the other is red velvet cake? (83) 15) Suppose that one person in 3,000 people has a genetic disease. There is an excellent test for the disease. 99.1% of people with the disease test positive and only 0.02% who do not have the disease test positive. a) What is the probability that someone who tests positive has the genetic disease? (Round to 3 decimals). 0.713 b) What is the probability that someone who tests negative does not have the disease? (Round to 6 decimals), 0.999566

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

My answers are displayed in red, may I get a second pair of eyes on their correctness?

14) For his birthday party, Madonna's 3 students bought him a cake cut into 10 slices.
a) How many ways are there to distribute 10 identical cake slices among 4 people, if each person gets
at least 2 slices? (133)
b) How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice
cream cake and the other is red velvet cake? (83)
15) Suppose that one person in 3,000 people has a genetic disease. There is an excellent test for the disease.
99.1% of people with the disease test positive and only 0.02% who do not have the disease test positive.
a) What is the probability that someone who tests positive has the genetic disease? (Round to 3
decimals). 0.713
b) What is the probability that someone who tests negative does not have the disease? (Round to 6
decimals). 0.999566

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