The probability mass function of the number of calls taken by a switchboard within 1 minute is given by the following table: xi (0 1 2 3 4 5 6) Pi (0.01 0.10 0.17 0.26 0.17 0.06 M) If the numbers of calls taken in two different minutes are independent, what is the expectation of the number of calls taken within one hour? Round your answer to the nearest hundredth. Then, 3.7 rounds to 3.70, and 3.742 rounds to 3.74
The probability mass function of the number of calls taken by a switchboard within 1 minute...
Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 1.5 per minute. The average time to handle each is 10 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation. a) The probability that the operator is busy = 0.25 (round your response to two decimal places). b) The average time that a caller must wait before reaching the operator = 0.06 minutes...