(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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The probability of a thunderstorm on Memorial Day is 0.13 and the probability of a thunderstorm on Independence Day is 0.59. Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial and Independence Day?
Suppose that the proportions of blood phenotypes in a particular population are as follows: AB 04 42 10 144 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O?
A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood to any person with any blood type. Their data show that 49% of people have type O blood and 17% of people have Rh− factor; 52% of people have type O or Rh− factor. A. Find the probability that a person has both type O blood and the Rh− factor. B. Find the probability that a person does NOT have both type O blood and the Rh− factor.
Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of “girls” (g) and “boys” (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is bbb, then R(bbb)=0. Suppose that the random variable X is defined in terms of R as follows: X=R^2-2R-1. The values of X are given in the table below.
Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is bbg, then R(bbg) = 1. Suppose that the random variable X is defined in terms of R as follows: X=R- - 2R-4. The values of X are given in the table below. Outcome bbb ggb bbg gbg gbb bgg bgb gg Value of X-4 -4 -5 -4 -5 -4 -5 -1 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X Px (x) E 1:48 PM 3/21/2022 hp Compag LAI956X 立

Suppose that each time Bar-bie throws a dart, she has a 3/4 probability of getting a bullseye. If Barbie shoots three darts, what is the probability that she gets a bullseye on at least two of them?
1
Example 2.3.8 Six dissimilar (distinguishable) balls are distributed at ran- dom into 3 boxes. Find the probability that these boxes contain 3, 2 and 1 balls respectively.
Time left 1:2 In one sectlon of STAT 1811 course, there are 10 glrls and 20 boys. What Is the probability that in a randomly selected sample of two students from that section both will be glrls? O a. 0.3333 Ob. 0,1034 O c. 0.1111 d. 0.5000
(b) Test two independent circuits one after the other. On each test, the possible outcome is either overvoltage (0) or undervoltage (U). Assume that all circuits are overvoltage with probability 0.4. Let X be the number of overvoltage circuit in the first test and Y be the number of overvoltage circuit before you observed undervoltage. If both circuit is overvoltage or undervoltage, Y = 2. Find the joint PMF of X and Y.
Agroup consists of 5 COE, 4 IE, and 6 MEE students. In a randomly selected team of 7 students, what is the probability that all 4 IE students and at least 1 MEE student are selected? O A. 0.1034 O B. 0.2571 OC. 0.5834 OD. 0.0241
A platter contains 48 doughnuts: 26 cake, 13 glazed, and nine jelly-filled. Suppose two doughnuts are randomly selected in succession without replacement. Find the probability (to 4 decimal places) of selecting two cake doughnuts. A. 0.0691 B. 0.2881 C. 0.2934 D. 0.5417

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