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Assume 7 students are assigned into 3 indistinguishable offices. How many ways can this happen under each condition?
1. assign students into groups of 1, 1, and 5, which means 2 students have their own offices, and the ways can other 5 share an office.
2.assign students into groups of 1, 2, and 4
3.assign students into groups of 1, 3, and 3
4.assign students into groups of 2, 2, and 3
In a survey of 616 males ages 18-64, 393 say they have gone to the dentist in the past year. Construct90% and95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. If convenie..
Estimate and write out the probability distribution of x, the number of Clear Tone-400 radios sold at Sound City during a week.
Determine whether the power plant should be shut down and the cooling system repaired. Perform the hypothesis test by using a critical value and a p-value. Assume s = 2.
A transmitter sends bits to a receiver across a noisy channel. The model for the noise is simple: regardless of whether a one or a zero was transmitted, the channel flips the bit with probability p = 0:1. Furthermore, assume that the noise acts on ea..
Suppose that two students named Gwyneth and Josephine have a total of 20 CDs in their room, consisting of 5 blues CDs and 15 reggae CDs. Each of the students chooses 7 CDs at random (without replacement), with all choices equally likely. (Thus, a..
Formulate and solve a linear optimization model using the auxiliary variable cells method and write a short memo to the production manager explaining the sensitivity information.
How would you describe the function of a generalized linear regression model?
Let X be the sample mean of a random sample of size n from a uniform distributionon the interval [0, b], and let bb = 2X be an estimator of the upper endpoint b.(a) Demonstrate that bb is an unbiased estimator of b, and find the variance of th..
In hypothesis testing we must balance the 2 types of errors, Type I and Type II. This is not unlike what happens in a jury trial. This week we will discuss the similarities and differences between hypothesis testing and the trial of a defendant. H..
1. Imagine yourself at a fair playing one of the midway games. Pick a game and calculate the expected value and post your results along with how you calculated them. For example, you may decide to throw a basketball to try to win a $10 bear. You paid..
Compute the mean median, and mode
i. truefalse1.nbsp a b if and only if b isin a and a isin b.2.nbsp a cap b ? c a ? b cap a ? c3.nbsp ac c nbsp
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