Find the posterior odds that the cup is milk-first

Assignment Help Basic Statistics
Reference no: EM131680503

Question: Once upon a time, a famous statistician ordered tea to a lady. The lady claimed that she could tell whether milk had been added to the cup before or after the tea. The statistician decided to run some experiments to test her claim.

(a) The lady is given 6 cups of tea, where it is known in advance that 3 will be milk- first and 3 will be tea-first, in a completely random order. The lady gets to taste each and then guess which 3 were milk-first. Assume for this part that she has no ability whatsoever to distinguish milk-first from tea-first cups of tea. Find the probability that at least 2 of her 3 guesses are correct.

(b) Now the lady is given one cup of tea, with probability 1/2 of it being milk-first. She needs to say whether she thinks it was milk-first. Let p1 be the lady's probability of being correct given that it was milk-first, and p2 be her probability of being correct given that it was tea-first. She claims that the cup was milk-first. Find the posterior odds that the cup is milk-first, given this information.

Reference no: EM131680503


Write a Review


Basic Statistics Questions & Answers

  Business statistics-normal distribution curves

Assume that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4.

  Determine if there are any outliers in sample mean

Given that the sample mean is x¯=93.81, and the sample standard deviation is s=4.65, determine if there are any outliers. (We will define an outlier to be any data value outside of the x¯+_2s range.)

  How will you model a trial by combining components

The baseball World Series consists of up to seven games. The first team to win four games wins the series. The first two are played at one team's home ballpark.

  Conclude that toms filtering system is effective

At the 0.05 level of significance, can we conclude that Tom's filtering system is effective in reducing the weekly number of spam messages an employee receives?

  Find the subpopulation of customers

Of the subpopulation of customers who order in the evening, consider the proportion who are female. Similarly, of the subpopulation of customers.

  Use the formula for expected value to verify your intuition

Intuitively, how many times would you expect the ball to wind up in a green slot?- Use the formula for expected value to verify your intuition.

  Build a classification tree model

What is a target variable and Build a classification tree model using part for the problem

  How can you answer the dual simplex question with

how can you answer the dual simplex question with maximization objective functionif you have to solve the m-method on

  Rank all observations together and make a list of the ranks

Find μW, σW, and the standardized rank sum statistic. Then give an approximate P-value using the Normal approximation with the continuity correction. What do you conclude?

  Is such a length unusual? what do you conclude?

Lenght Of Pregnancy. A woman wrote to Dear Abby and claimed that she gave birth 309 days after a visit from her hushand , who was in the Navy. Lengths of pegnancies have a mean of 268 days and a standard deviation of 15 days. Find the z score for 308..

  Probability that there will be a loss rather than profit

What is the probability that there will be a loss rather than a profit?- What is the probability that the profit will be between $10,000 and $20,000?

  Matter of a woman bringing an infant

In talking about cultural and environmental blocks, we discussed the matter of a woman bringing an infant into the workplace and the possible reactions of others. Consider the situation in which a classmate wants to bring her child to school in or..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd