(Hardy-Weinberg.) Suppose that a particular gene occurs as oneof two alleles (A and a), where allele A has frequency 0 (0, 1) in the population. That is, arandom copy of the gene is A with probability and a with probability 1-0. Since a diploidgenotype consists of two genes, the probability of each genotype is given by:genotype AAAaaaprobability 0² 20(1-0) (1 - 0)²Suppose we test a random sample of people and find that n₁ are AA, n₂ are Aa, and nare aa. Find the maximum likelihood estimator ên. Make sure to verify that it is indeedmaximizing, by computing the second derivative of the function you are maximizing.

Objective of this question is that, find the MLE of θ Given information n1 for AA, n2 for Aa, n3 for…

Answered: (Hardy-Weinberg.) Suppose that a…

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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An experiment consists of randomly selecting one of three coins, tossing it, and observing the outcome-heads or tails. The first coin is a two-headed coin, the second is a biased coin such that P (H) = .75, and the third is a fair coin. Р (Н) a. What is the probability that the coin that is tossed will show heads? b. If the coin selected shows heads, what is the probability that this coin is the fair coin?
The probability that a particular type of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.80 Suppose you have 2 such alarms in your house and they operate independtly. If a burnt hamburger causes your house to fill with smoke, what is the probability that at least one of the two alarms will sound? 0.96 0.80 0.04 0.64
A certain mass of Uranium-235 emits radioactive particles at a rate of 20 disintegrations per minute, and Uranium-238 emits radioactive particles at a rate of 25 disintegrations per minute. Find the probability that less than 200 disintegrations will be emitted by both radioactive nuclei in five minutes. 0.0427 none of these 0.4013 0.0573 0.9525
Based on a survey assume that 26% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when 6 consumers are randomly selected, exactly 3 of them are comfortable with delivery by drones. Identify the values of n, x, p and q
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15 The probability of a randomly selected adult in one country being infected with a certain virus is 0.005. In tests for the virus, blood samples from 15 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is (Round to three decimal places as needed.) Is it unlikely for such a combined sample to test positive? O A. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is greater than 0.05. OB. It is unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is greater than 0.05. OC. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will…
H1
Suppose that the proportions of blood phenotypes in a particular population are as follows: A B AB O 0.41 0.07 0.03 0.49 a) Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.)b) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)
According to recent reports, currently 39% of the population of NC (adults and children) has been fully vaccinated against Covid. Suppose of random sample of 400 individuals from the population of NC is selected. Let x represent the number in the sample who are fully vaccinated. d. Find the probability that 130 or fewer in the sample have been fully vaccinated. Round to 4 decimal places. Would this result be unusual? Explain.
Based on a Comcast survey, there is a 0.8 probability that a randomly selected adult will watch prime-time TV live, instead of online, on DVR, etc. Assume that seven adults are randomly selected. Find the probability that fewer than three of the selected adults watch prime-time live. OA. 0.00430 B. 0.000358 OC. 0.0512 O D. 0.00467
What is the probability of getting at least one tail if two unbiased coins are independently tossed? а. 1/4 b. 1/2 с. 7/8 d. 3/4

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