A Hospital telephone operator has observed that calls arrive at a rate of 300 calls per hour. What is the probability that there are exactly 5 calls in 10 minutes?
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Step-by-step explanation:
This problem is relatively simple. We are concerned ONLY with the first three minutes. Assuming the P of a call being received is EQUAL FOR EACH MINUTE THAT PASSES, then the P of no call being received during any given minute during that hour is 30/60 or 0.5.
The P(no call received during min#1) is 0.5
The P(no call received during min#2) is 0.5
The P(no call received during min#3) is 0.5
Thus the P(no call received during first 3 min) is (0.5)(0.5)(0.5), or 0.125
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