A switching board receives a random number of phone calls. The expected number of calls is...

A switching board receives a random number of phone calls. The expected number of calls is 7.4 per minute. Assume that distribution of the number of calls is Poisson. The average number of calls per minute is recorded by counting the total number of calls received in one hour, divided by 60, the number of minutes in an hour. In the next 4 questions you are asked to apply the Normal approximation to the distribution of the sample average using this information. The answer may be rounded up to 3 decimal places of the actual value: Question 122 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The expectation of the average is Answer: Question 123 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The standard deviation of the average is Answer: Question 124 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The probability that the average is less than 7 Answer: Question 125 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The probability that number of calls in a random minute is less than 7 is Answer . (Note, the question is with resect to a random minute, and not the average.) Information Not flaggedFlag question Information text It is claimed that the expected length of time some computer part may work before requiring a reboot is 3.5 months. In order to examine this claim 70 identical parts are set to work. Assume that the distribution of the length of time the part can work (in months) is Exponential. In the next 4 questions you are asked to apply the Normal approximation to the distribution of the average of the 70 parts that are examined. The answer may be rounded up to 3 decimal places of the actual value: Question 126 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The expectation of the average is Answer: Question 127 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The standard deviation of the average is Answer: Question 128 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The central region that contains 90% of the distribution of the average is of the form E(X) ± c, where E(X) is the expectation of the sample average. The value of c is Answer: Question 129 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The probability that the average is more than 4 months is Answer:

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orchestra answered 1 year ago

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