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The proportion of salt (X) and pepper (Y) left in the salt and pepper shakers at the end of a day at a crowded restaurant has a joint probability density function given by f(x,y) = 3y for 0<x<y<1 (=0 otherwise) a) Are X and Y independent? b) What is the conditional density of X given Y=y? c) What is the expectation of X given that Y = 0.5? d) What is the expectation of X?
For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3770. Find value of Z? For some value of Z, the probability that a standard normal variable is below Z is 0.2090. Find value of Z?
What is the probabillity that in a random sample of 1,200 undergraduate business students, 336 or more will major in accounting?
The probability of each. If the answer cannot be calculated, enter zero (0) as your answer. Round to 4 decimal places otherwise. YES, you need, therefore, to look at the 5th decimal place.
You own a stock called Insurate, Inc. Your profit for the stock is a random variable (W) with mean 1,000 and variance 400. You would like to buy more stock and you are trying to decide between Insurate
We want to show that a real number, chosen at random from the interval [0,1], can be approximated to within 1/(n²) by rational numbers of the form k/n.
In each of the following cases, decide whether or not a binomial distribution is an appropriate model, and give your reasons.
Sales figures and profits for the stores are given in the following table. Obtain a regression line for the data and predict profit for a store assuming sales of $10 million.
Determine whether P constitutes a Bayesian network with the DAG X -> Y -> Z: Determine whether P constitutes a Bayesian network with the DAG X -> Z
A number of minor automobile accidents occur at various high-risk intersections. A study was done. Eight intersections were chosen at random. The number of minor accidents during a 6-month period before and after the modifications were:
A study sponsored by American Express Co. and the French government tourist office found that old American stereotypes about French unfriendliness weren't true.
The data in the next table resulted from an experiment that used a completely random design. Test the null hypothesis that u1 = u2 = u3, where ui represents the true mean for treament i, against the alternative that at least two of the means differ..
A pharmaceutical firm as a sales rep
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