1) Megan and her husband are two very fertile young newlyweds. Thus, if they have unprotected sexual intercourse, Megan will have a 50% chance of getting pregnant. Soon after said copulation occurs, Megan decides to take a pregnancy test. Despite the claim of being error proof, the box indicates that during the early stages of pregnancy, the probability of seeing a negative result given she is not pregnant is only 93% while the probability of seeing a negative result given she is pregnant is 8%. Megan's pregnancy test displayed a negative result. What is the probability that she is actually pregnant given this negative result (to 4 decimal places)? Use what you know about the Binomial distribution to analyze the following scenarios. For each problem: a) Identify the correct value of all defining parameters. b) Calculate the mean and variance of the distribution. c) Find the indicated probability to 4 decimal places. 2) Assume that each person entering the Apple store has a 30% chance of making a purchase independent of the others. Suppose that 10 potential customers enter the store. Find the probability that fewer than 4 of them make purchases. 3) Seven people are randomly interviewed from a large population that is 55% female. Find the probability that exactly 3 of the selected people are women. 4) A salesman notes that his success rate is about 15%. If he has 20 customers who buy from him independently of the others, find the probability that he makes more than 5 sales. 5) Find the probability that an investor makes a profit on 7 of her next 13 investments, assuming independence and a 0.6 chance of making a profit each time.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1) Megan and her husband are two very fertile young newlyweds. Thus, if they have unprotected sexual intercourse, Megan will have a 50% chance of getting pregnant. Soon after said copulation occurs, Megan decides to take a pregnancy test. Despite the claim of being error proof, the box indicates that during the early stages of pregnancy, the probability of seeing a negative result given she is not pregnant is only 93% while the probability of seeing a negative result given she is pregnant is 8%. Megan's pregnancy test displayed a negative result. What is the probability that she is actually pregnant given this negative result (to 4 decimal places)? Use what you know about the Binomial distribution to analyze the following scenarios. For each problem: a) Identify the correct value of all defining parameters. b) Calculate the mean and variance of the distribution. c) Find the indicated probability to 4 decimal places. 2) Assume that each person entering the Apple store has a 30% chance of making a purchase independent of the others. Suppose that 10 potential customers enter the store. Find the probability that fewer than 4 of them make purchases. 3) Seven people are randomly interviewed from a large population that is 55% female. Find the probability that exactly 3 of the selected people are women. 4) A salesman notes that his success rate is about 15%. If he has 20 customers who buy from him independently of the others, find the probability that he makes more than 5 sales. 5) Find the probability that an investor makes a profit on 7 of her next 13 investments, assuming independence and a 0.6 chance of making a profit each time.

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