1. Find the method of moments estimator for p for the Bernoulli distribution. (see page 78)2. Find the maximum likelihood estimator for p for the Bernoulli distribution. Show your work.3. Find the maximum likelihood estimator for p for the Binomial distribution. Show your work.This is tricky because of our standard notation. Generally, we think of the sample size as n, but in the binomialdistribution we have already defined n as the number of trials from which you count then number of successes X. Let'skeep that definition for n for now, and use the letter m to represent your sample size. Note, that n and m are fixed. Thevalue for p is the one you're trying to find an estimate for.(For clarification - ignore this if it doesn't help. Let's say you're testing lightbulbs in packs of 4 and counting the numberof defective bulbs in the set. In this case n=4 and X can take on any integer from 0 to 4. But now you do this testing 30times in a day, meaning you test 30 packs of 4 lightbulbs. In this case m=30. So at the end of the day, you have 30values, each of which is between 0 and 4. And question 3 is asking you how to use this data to come up with anestimate for p. You need to use the generic variables n, m, p when solving problem 3, but I was hoping that this concreteexample would help put things in context.)

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Answered: 1. Find the method of moments estimator…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 7% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) through (d).
Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults in a region found that 34% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts (a) through (d) below Question content area bottom Part 1 Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. Yes, both np≥5 and nq≥5 B. No, nq<5 C. No, np<5 Your answer is correct. Part 2 (a) Find the probability that the number who name professional football as their favorite sport is exactly 8. The probability is 0.0168 0.0168. (Round to four…
Assume that a procedure yields a binomial distribution. Determine the probability given the number of trials and the probability of success. Round to four decimal places. n = 13, p = 0.18, find P(3)
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Select all that apply. We show that our sample statistics have (at minimum) a somewhat normal distribution because this allows us to use t and z critical values. this allows us to use t and z tables for probabilities. this tells us that our sampling is appropriate. normal distributions are cool and that's all we talk about in this class.
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1. Find the method of moments estimator for p for the Bernoulli distribution. (see page 78) 2. Find the maximum likelihood estimator for p for the Bernoulli distribution. Show your work. 3. Find the maximum likelihood estimator for p for the Binomial distribution. Show your work.