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A telephone company establishes a direct connection between two cities expecting Poisson traffic with rate 30 calls/min. The durations of calls are independent and exponentially distributed with mean 3 min. Inter-arrival times are independent of call durations. How many circuits should the company provide to ensure that an attempted call is blocked (because all circuits are busy) with probability less than 0.01? It is assumed that blocked calls are lost (i.e., a blocked call is not attempted again.)
Expected value, variance and standard deviation.A volunteer ambulance service handles 0 to 5 service calls on any given day. The probability distribution for the number of service calls is as follows.
We are interested in comparing the proportions of males and females who think earning a large salary is very important to them. I surveyed 200 of each gender and recorded their answers to the question as yes or no.
That 95% of all daily sales fell between $19,200 and $36,400. Based on this information what were the mean sales? What was the standard deviation?
An assembly line turns out 10% deffectives. Determine an acceptance number and sampling plan for samples of size 14 and a producers risk of 3%. (AQL = 10)).
Class where the mean is 85 and the standard deviation is 4.59, who did better relative to their class? Note both did better than the class mean. How do you answer this question?
Change the frequencies to percentages - is there a group more likely to get high salaries.
Larry Jacava is considering producing a novelty item for golfers that will be sold through pro shops. Larry has decided on a selling price of $3.50 for the item. The item's variable cost of production is $2.00 per unit with a fixed cost of $3,750.
At the 1% significance level, can it be concluded that the current distribution of responses differs from that of a year ago ?? Formulate and test the appropriate hypotheses. Use the critical value approach.
A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the sample mean will be larger than 82 is?
Professor wishes to determine whether prior statistical knowledge assists students in their performance on the final exam. What is the relationship between pretest scores and final exam scores after controlling for cumulative GPA. What SPSS test w..
The following table gives the median incomes of families by level of income and geographical region.
Of the adult US population 36% has an allergy. A sample of 1200 randomly selected adults resulted in 33.2% reporting an allergy. Identify the statistic and give its value
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