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1. Prove that the conditional probability of acceptance in the loop above is f(x0|θ), and deduce that the distribution of the accepted θ is π(θ|x0).
2. The vector randu is a historical reminder of how wrong a random generator can get. It consists of 400 rows of three consecutive values produced by a former VAX random generator called RANDU.
a. Produce a random sample by taking all columns of randu, and reproduce Figure.
b. Show that the triplets randu[i,] lie on one of 15 parallel hyperplanes.
What percentage of the bank's customers carries average daily balances below of $200? What percentage of the bank's customers carries average daily balances between $300 and $700?
Consider an experiment that results in a positive outcome with probability 0.38 and a negative outcome with probability 0.62. Create a new experiment consisting of repeating the original experiment 3 times. Assume each repetition is independent of..
directional and nondirectional hypotheses can be easily interchanged according to the hypothesis the researcher is
In 2004, the Internal Revenue Service received 312,226,042 individual tax returns. Of these, 12,757,005 reported an adjusted gross income of at least $100,000, and 240,128 reported at least $1 million.27 If you know that a randomly chosen return s..
A biology professor claimed that the proportions of grades in his classes are the same. A sample of 100 students showed the following frequencies:
let x1 and x2 be two independent random variables each representing the number of heads in two flips of a fair coin.
Problem 4.2.6 extended Example 4.1 to a test of n circuits and identified the joint PDF of X, the number of acceptable circuits, and Y, the number of successful tests before the first reject. Write a Matlab function
Determine whether the following equations have a solution or not? Justify your answer. What type of solution do you get for quadratic equations where D
The manager selected a sample of five executives from each of three industries. At the .05 significance level, can she conclude there is a difference in the mean number of hours spent per week by industry?
Suppose that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more?
The number of complaints that a dry-cleaning establishment receives per day is a random variable having a Poisson distribution with λ = 3.3. Use the formula for the Poisson distribution to find the probability that it will receive only two compla..
The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments
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