*Take home exercise 1 (Example 7 in 3.4-3.6 lecture slides) Asinmany as onesickle cell anemia. One in 10 is a carrier of the trait, and carriers who marryhave a 1 in 4 chance of passing the disease to their children. Suppose a carrierhas three children and the transmission of the disease from the carrier to any onechild is independent of whether or not the carrier transmits to another.every 500 African Americans in the US are reported to haveLet X= number in 3 that got sickle cell anemia. Find the probabilitydistribution of X.CENTescP1256742deleteTYURQrabKDAreturncaps lockBVCXshiftshiftTcommandoptioncontrolcammandoption00NFLORIDATRALdo s

The conditions for binomial distribution:Fixed number of trials.The trials are independent.There are…

Answered: *Take home exercise 1 (Example 7 in…

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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Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces them into the economy. Suppose that each bill is used once per week (starting in week 1), and that each time a bill is used, it has a 1 in 5 chance of being detected as fake. If it is detected, it is removed. If not, it is used again.
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1. The basketball coach says that based on Noah's free throws this season, Noah has a 3/4 probability of making each free throw. Select all the ways Noah could accurately simulate the number of free throws he will make in his next 6 attempts. *
3. A gene can be either type A or type B, and it can be either dominant or recessive. Assume that P(A)=0.60. If the gene is type A, then there is a probability of 0.31 that it is dominant. There is also a probability of 0.22 that it is dominant given that a gene is type B. a. What is the probability that a gene is dominant? b. What is the probability that a gene is type A given that it is dominant?
A report describes a survey of 251 adult Americans. Participants in the survey were asked how often they disinfect their phone and were asked to respond with one of the following categories: more than once a week, once a week, every other, week, every three weeks, or less often than every three weeks. For this group, 9% responded more than once a week, 52% responded once a week, 26% responded every other week, 6% responded every three weeks, and 7% responded less often than every three weeks. Fill in the table below with the relative frequency distributions. How Often? Relative Frequency More than once a week Once a week Every other week Every three weeks Less often than every three weeks
As part of a study on how people of different ages use mobile technology, each person in a sample of 258 cell phone users age 20 to 39 was asked if they use their cell phones to stay connected while they are in bed. The same question was also asked of each person in a sample of 129 cell phone users age 40 to 49. In the 20 to 39 years age group, 168 people indicated that they do stay connected while they are in bed, whilst in the 40 to 49 years old age group, 61 people stay connected while in bed.Let: ??̂ 1 = Proportion of cell phone users age 20 to 39 who stay connected while they are in bed ??̂ 2 = Proportion of cell phone users age 40 to 49 who stay connected while they are in bed ??̂= Pooled proportion of cell phone users who stay connected while they are in bed
Question 1 A store-bought pregnancy test produces a correct result 99% of the time when a woman is actually pregnant but is only 97% accurate when a woman is not pregnant. What are the chances of a false positive and a false negative respectively? Question 2 Assuming a woman has a 90% chance of actually being pregnant when she takes the test, and that she takes TWO tests (requiring the same signal from both tests to either confirm OR reject) what is the probability of she will get a "double positive" result? Also, what is the probability of an "uncertain" result (one of each)?
Do question 2
According to the CCD, 1 in 25 adults have mutation A in their blood. Test TT for that mutation will give a positive result 95% of the time when the adult actually has the mutation and a negative result the other 5% of the time. If the adult does not have the mutation, then the TT test gives a positive result 1% of the time and a negative result the other 99% of the time. Suppose an adult is randomly selected and given the TT test. Need help with e. a.What is the probability that the selected adult has mutation A? b. What is the probability that the selected adult has mutation A and test TT gives a positive result? c. What is the probability that test TT gives a positive result for the selected adult? d. What is the probability that test TT gives a negative result for the selected adult? e. What is the probability that the selected adult has the mutation given that test TT gives a positive result? f.If 1000 random adults are selected, about how many would be expected to give a positive…
As part of a study on how people of different ages use mobile technology, each person in a sample of 258 cell phone users age 20 to 39 was asked if they use their cell phones to stay connected while they are in bed. The same question was also asked of each person in a sample of 129 cell phone users age 40 to 49. In the 20 to 39 years age group, 168 people indicated that they do stay connected while they are in bed, whilst in the 40 to 49 years old age group, 61 people stay connected while in bed.Let: ??̂ 1 = Proportion of cell phone users age 20 to 39 who stay connected while they are in bed ??̂ 2 = Proportion of cell phone users age 40 to 49 who stay connected while they are in bed ??̂= Pooled proportion of cell phone users who stay connected while they are in bed
As part of a study on how people of different ages use mobile technology, each person in a sample of 258 cell phone users age 20 to 39 was asked if they use their cell phones to stay connected while they are in bed. The same question was also asked of each person in a sample of 129 cell phone users age 40 to 49. In the 20 to 39 years age group, 168 people indicated that they do stay connected while they are in bed, whilst in the 40 to 49 years old age group, 61 people stay connected while in bed. Let: = Proportion of cell phone users age 20 to 39 who stay connected while they are in bed ??̂ 2 = Proportion of cell phone users age 40 to 49 who stay connected while they are in bed ??̂= Pooled proportion of cell phone users who stay connected while they are in bed

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