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Question: 1. You are given 10 white and 10 black balls and two boxes. You are told that your instructor will draw a ball from one of the two boxes. If it is white, you pass the exam. If it is black, you fail. How should you arrange the balls in the boxes to maximize your chance of passing?
2. An instructor wishes to "grade on the curve." The students; scores seem to be normally distributed with mean 70 and standard deviation 8. If the instructor wishes to give 20 percent As, what should be the dividing line between an A grade and a B grade?
The odds in favor of an event are the number of successes divided by the number of failures. The probability of this event occurring is the number of successes divided by the sum of the number of successes and the number of failures.
Use the Wilcoxin Rank Sum test for independent samples to determine if the median age of a car and a taxi are different.
A box contains 3 plain pencils and 5 pens. A second box contains 9 color pencils and 3 crayons. One item from each is chosen at random, what is the probability that a pen from the first box and a crayon from the second box are selected?
(b) of Exercise 25 to calculate -2 · ln λ and test the null hypothesis = = = at the 0.05 level of signifi- cance. Explain why the number of degrees of freedom for this approximate chi-square test is 3.
The newspaper has charged that your police department responds more slowly to 911 calls in poor neighborhoods than in more wealthy ones.
Suppose we are considering the selection of the reorder point, R, of a (Q, R) inventory policy. With this policy, we order up to Q when the inventory level falls to R or less. The probability distribution of daily demand is given in Table.
A sample of n = 9 individuals was selected from a normally distributed population with a mean of µ = 25 and a standard deviation σ = 6. A treatment was administered to the sample and, after treatment, the nine individuals produced the following sc..
The hospital was 12.0 weeks with the standard deviant of 1.0 week. Out of 100 patients, how many would you expect to stay longer than 13 weeks?
there is about 80 chance that a randomly chosen person aged 20 will still be alive at age 65. suppose we randomly
Is there evidence that the population mean is above $300, if X (bar) = $305.11 and s = $43.20?
The duration of a voice telephone call is an exponential random variable V with expected value E[V] = 3 minutes. The duration of a data call is an exponential random variable D with expected value E[D] = µD> 3 minutes.
The distributions you constructed for samples of size 1, 5, 10, and 25 are called sampling distributions of the sample mean. Sketch the sampling distribution of the sample mean for samples of size 36.
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