An otherwise fair six-sided die has been tampered with in an attempt tocheat at a dice game. The effect is that the 1 and 6 faces have adifferent probability of occurring than the 2, 3, 4 and 5 faces.Let 0 be the probability of obtaining a 1 on this biased die. Then theoutcomes of rolling the biased die have the following probability massfunction.Table 1 The p.m.f. of outcomes of rolls of a biased dieOutcome36.Probability 0 1(1– 20) |(1- 20) ļ0– 20) |(1– 20) 0Studies of the size and range of wild animal populations often involvetagging observed individual animals and recording how many times eachis caught in a trap (from which it is then released back into the wild).The dataset presented in Table 3 consists of the numbers of times cachof n= 331 wood mice were caught in a particular trap (over a two-yeartime period).Table 3Numbers of trappings of wood miceTimes trappedFrequency3 4209.7159 41 392619129.Times trapped 10Frequency11121314151617 188 4 9 2333Question 1:What is the value of the maximum likelihood estimate, 0, of 0based on these data? Justify your answer. What does the value ofsuggest about the value of 0 for this biased die compared with thevalue of 0 associated with a fair, unbiased, die?

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An otherwise fair six-sided die has been tampered with in an attempt to cheat at a dice game. The effect is that the 1 and 6 faces have a different probability of occurring than the 2, 3, 4 and 5 faces. Let 0 be the probability of obtaining a 1 on this biased die. Then the outcomes of rolling the biased die have the following probability mass function.

An otherwise fair six-sided die has been tampered with in an attempt to cheat at a dice game. The effect is that the 1 and 6 faces have a different probability of occurring than the 2, 3, 4 and 5 faces. Let 0 be the probability of obtaining a 1 on this biased die. Then the outcomes of rolling the biased die have the following probability mass function.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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