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Consider the simple queueing process of Example 5.7. Suppose that you watch the size of the queue. If there are j people in the queue the next time the queue size changes it will either decrease to j - 1 or increase to j + 1. Use the result of Exercise 34 to show that the probability that the queue size decreases to j - 1 is µ/(µ + λ) and the probability that it increases to j + 1 is λ/(µ + λ). When the queue size is 0 it can only increase to 1. Write a program to simulate the queue size. Use this simulation to help formulate a conjecture containing conditions on µ and λ that will ensure that the queue will have times when it is empty.
a random sample of 81 students at a local university showed that they work an average of 60 hours per month with a
Do the data indicate any significant preferences among the three versions of the photograph? Test at the .05 level of significance.
a coin was flipped 60 times and came up heads 36 times. what is the test statistic you would use to test whether the
Determine the confidence level used for the given confidence interval.
Finally, the when large plant is built and the demand happens to be high, the net present value of the profits $800,000. Draw a decision tree.
let x be the damage incurred in in a certain type of accident during a given year. possible x values are 0 1000 5000
Find the offspring generating function G(s) and the expectation of N.
computing the probability values using normal distribution.the distribution of scores on the sat is approximately
A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the oth..
Patient does not have disease occurs 1% of the time. If a randomly selected individual is positive what is the probability that the individual has the disease?
Which conditional distributions do these statistics refer to, those of y at given catagories of x, or those of x at given categories of y? Set up a table with race of murderers as rows and race of victims as columns, showing the two conditional di..
1. an srs of size 10 is drawn from a population that has a normal distribution. the sample has a mean of 111 and a
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