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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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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Assume that you have two dice, one of which is fair, and the other is biased toward landing on six, so that 0.25 of the time it lands on six, and 0.15 of the time it lands on each of 1, 2, 3, 4 and 5. You choose a die at random, and roll it six times, getting the values 4, 3, 6, 6, 5, 5. What is the probability that the die you chose is the fair die? The outcomes of the rolls are mutually independent.
Urn A contains five white balls and three black balls. Urn B contains seven white balls and four black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was black given that the second ball drawn was black? (Round your answer to three decimal places.)
Exhibit 9-3. Simunons owna and operates a national chain of departaent stores. Simmons wati to send ao spenve sales catlog with a"0 off coupon onhy to those cuitomen who have a mfficimntly high probability of unng the coupon. Managtet dila the the decson should depend ce sl-al spendng at Simmona (S1000) and 1f the customer has a Simmons credit card O otherwise Aanaming 1if the customer uses the coupon o Otherwise nd B= Ply = 1) the logistic regression wan rum in Data Mining and the following ostput for the lopit In(- 1wobtaned 1-6 Coefficients Predictor Estimate 2.50 Intercept x1 0.33 x2 2.10 Refer to Exhibit 9.3. What is the estimated logistic fanction In )= - 2.,50+0.35×+2.1x2 = -2.50+0.35x+2.1x 1-6 <<2.50+0.33+2.) 1+e 0.33x2. 1+e
Suppose you spin this spinner twice, find the probability a. P(both spins are red) red yellow b. P(first is blue and second is yellow) blue red C. P( one is blue and one is yellow) d. P(yellow or blue given the first was red)
I need the answer of the question attached. Please show all the work.. Thanks.
A randomly selected car owner in New York might be having a Japanese made car, where the probability of this event is 0.4. The same person might be having an American made car, where the probability of this event is 0.2. The probability that the same person is having cars of both origins is 0.1. Find the probability that the diver is New York has the car of Japensese origin, but not the American origin.
QUESTION 7 Suppose we have a fuse box containing 16 fuses of which 6 are defective (D). If 2 fuses are selected at random and removed from the box in succession without replacing the firs.The probability that both fuses are defective is
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 ở 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, Table 1 The p.m.f. of outcomes of rolls of a biascd die Outcome 2 4. Probability 1– 20) 4(1- 20) (1- 20) (1– 20) 0 Table 2 Outcomes of 1000 independent rolls of a biased die Outcome 1. 2 3. 4. 5. Frequency 205 154 141 165 145 190 The likely hood of theta based on the data is, L(0) – CO (1 – 20)*. where C is a positive constant, not dependent on 0. And L'(0) – CO*(1- 20) (395 – 2000 0). Question 1: What is the value of the maximum likelihood estimate, 6, of d based on these data? Justify your answer. What does the value of suggest about the value of 0 for this biased die compared with the value of 0 associated with a fair, unbiased, die?
A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the company. If 90 relays are selected at random from those in use by the company, find the probability that at most 59 of these relays come from supplier A. Assume that the company uses a large number of relays. (Use the normal approximation. Round your answer to four decimal places.)
Three 3-sided dice are tossed. Each die has its sides labeled 0, 1, and 2. Let X denote the product of the outcomes of the threee dice. Determine the probability mass function (pmf) of X.
section 5.3 Out of 413 applicants for a job, 127 have over 10 years of experience and 51 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience? Enter a fraction or round your answer to 4 decimal places, if necessary. Step 2 of 2: Consider that 83 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 yrs of experience, given that the applicant has a graduate degree? round to 4 decimal places
Please help me fix problem D,E,F, Thank you!

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