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A computer system carries out tasks submitted by two users. Time is divided into slots. A slot can be idle, with probability pI = 1/6, and busy with probability pB = 5/6. During a busy slot, there is probability p1|B = 2/5 (respectively, p2|B = 3/5) that a task from user 1 (respectively, 2) is executed. We assume that events related to different slots are independent.
(a) Find the probability that a task from user 1 is executed for the first time during the 4th slot.
(b) Given that exactly 5 out of the first 10 slots were idle, find the probability that the 6th idle slot is 12.
(c) Find the expected number of slots up to and including the 5th task from user 1.
(d) Find the expected number of busy slots up to and including the 5th task from user 1.
(e) Find the PMF, mean, and variance of the number of tasks from user 2 until the time of the 5th task from user 1.
A study was designed to compare variability of male and female diastolic blood pressure. The null hypothesis was that the population standard deviation were equal versus the alternative that they were not equal.
The average cost per night of a hotel room in New York City is $273 (SmartMoney, March 2009). Assume this estimate is based on a sample of 45 hotels and that the sample standard deviation is $65.
a. Calculate AOQ for p = .01, .02,..., .10. What does this suggest about the value of p for which AOQ is a maximum and the corresponding AOQL?
If the gender-selection method has no effect and boys and girls are equally likely, find the mean number of boys born in groups of 152. Round to the nearest whole number.
Estimate the population proportion p of commuters from the two islands who would prefer the ferry service. Construct a 95% confidence interval for p.
Two strategies over the 6-year period. Create a histogram of the final fund values. Based on your simulation results, which of the two strategies would you recommend? Why?
do you drink the recommended amount of water each day? most americans dont on average americans drink 5.5 eight-oz
The mean amount of a purchase at the Smith Hardware store is $23.50 with standard deviation of $5.00. The amounts purchased follow normal distribution.
An economist is interested in studying the spending habits of consumers in a particular region. The population variance is known to be $1,000,000. A random sample of 50 individuals resulted in an average expense of $15,000. What is the width of th..
A clinical study was performed to determine if a product was effective in alleviating side effects caused by a mode of treatment. In the treated group (100 subjects) it was found that 10% had side effect A, 15% had side effect B and 65% had side eff..
listed 3.52 8.87 3.99 3.61 2.33 3.21 0.25 4.94 are weights in pounds of glass discarded in one week by randomly
A researcher is interested in whether or not hours studied is different for boys and girls. Is there a significant difference between the two groups?
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