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Customers arrive at a certain business at a rate of 6 per hour. Assuming a Poisson model for their arrival, answer the following questions.
a) What is the probability that no customers come between 10:00 and 10:20?
b) What is the probability that exactly two customers come between 10:00 and 10:20?
c) What is the probability that more than 6 customers come between 10:00 and 11:00? Less than 6? Exactly 6?
d) Sam is working a 4-hour shift. What is the probability that between 20 and 30 (inclusive) customers come on his shift?
e) Why might a Poisson model not be a very good model for some businesses?
When demand cannot be met during any given interval, a second window is opened. What percentage of the time will a second window have to be opened?
Derive expressions for the coefficient of skewness and the coefficient of kurtosis in terms of the mean and variance µ and σ2.
Scrabble In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles.
We found that average performance ratings do not differ between males and females in the population. Now we need to see if they differ among the grades. Is the average performace rating the same for all grades?
Find a bivariate data set relating to your work or business interests on the Internet, in a newspaper, or in a magazine, with a sample size of n¼15 or more.
Explain how these two results are consistent. Your explanation should discuss the confidence level, the P-value, and the decision.
1 consider a resource-allocation problem having the following
Compute the range, interquartile range, variance, standard deviation, and coefficient of variation.
Furthermore, 357 employees both are college-educated and have had the vocational training. If an employee is chosen at random, what is the probability that he or she is college-educated or has had the training or both?
the probability that a randomly selected 2-year-old male feral cat will live to be 3 years old is 0.88493 a what is the
Those who had consumed the vodka tonics had 35% more cravings than those who did not. Assuming that the assignment of subjects to the treatment (vodka) and control groups was made at random, do you think there are any confounding factors that would..
Below is a partial multiple regression ANOVA table. Test the overall usefulness of the model at italic alpha =.01. Calculate F and make your decision about whether the model is useful for prediction purposes.
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