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Phone calls arrive at an average rate of 35 per hour at the Information Technology Help Desk of a large organization during normal office hours. Use appropriate Excel functions to solve the following questions:
(A) Compute the probability of receiving four calls in a five-minute interval of time.
(B) Compute the probability of receiving more than 10 calls in a five-minute interval of time.
(C) If no calls are currently being processed (either on hold or in progress), what is the probability that the agent can take a 10-minute break without missing a call?
(D) The help desk has a capacity for 5 calls on hold; any additional calls get a busy signal and so miss their spot in the queue. If there are already 2 calls on hold and the current call takes 7 minutes, what is the probability of at least one caller not getting into the queue while the current call is processed?
(E) Suppose no calls are currently being processed (either on hold or in progress), what is the probability that the Helpdesk will receive the next call within the next 10 minutes?
Suppose the population standard deviation is unknown. If 71% of all sample means are greater than 49 hours and the population mean is still 50.4 hours, what is the value of the population standard deviation?
Suppose that we generate a random sample from a given distribution. If it is desired that the probability that the sample mean will be within 2 standard deviations of the mean of the distribution is at least .99, how large should the sample size b..
A previously used drug treatment has a mean remission time of 12.5 weeks. Does the data indicate that the mean remission time using the new drug is different from 12.5 week at a level of significance of 0.01?
The life of a calculator manufactured by Intel corporation has a normal distribution with a mean of 50 months and a standard deviation of one year.
Question: If the regression line is drawn as Y = C + 1075x, when X was 2 and y was 239, given that the intercept was 11. Calculate the residual
Prediction equation is y^ = 30 + 0:60x. Determine predicted final exam score for student who has (i) midterm score = 100, (ii) midterm score = 50. Note that predicted nal exam score regresses toward mean.
What is the sample proportion from an American Express sponsored survey that found 355 of 546 business travelers use a laptop computer on overnight business trips?
The formula C=5/9 (F-32) , where F is equal to or more than -459.6, represents Celsius temperature C as a function of Fahrenheit temperature F.
A researcher wants to collect data about the study habits of sophomores at Harmond University. From the sophomore class of 2,300 students, she wants to collect a sample of 70 students. Which of the following sampling methods will yield the most re..
3 cards are randomly selected without replacement from an ordinary deck of 52 playing cards. Compute the conditional probability that the first card selected is a spade, given that the second and third cards are spades.
You are trying to get an important new customer to buy a product that you produce. Their decision to buy depends on the speed at which you can produce the product once they have placed the order.
The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use Excel to find the..
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