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The durations of phone calls taken by the receptionist at an office are like draws made at random with replacement from a list that has an average of 8.5 minutes (that's 8 minutes and 30 seconds) and an SD of 3 minutes. Approximately what is the chance that the total duration of the next 100 calls is more than 15 hours?
 11 months ago
 11 months ago
The durations of phone calls taken by the receptionist at an office are like draws made at random with replacement from a list that has an average of 8.5 minutes (that's 8 minutes and 30 seconds) and an SD of 3 minutes. Approximately what is the chance that the total duration of the next 100 calls is more than 15 hours?
 11 months ago
 11 months ago

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kropot72Best ResponseYou've already chosen the best response.0
\[X=\frac{15\times 60}{100}=9\ minutes\] \[z=\frac{X\mu}{\sigma}=\frac{98.5}{3}=0.1667\] Reference to a standard normal distribution table shows that the cumulative probability of calls averaging less than 9 minutes is 0.5662. Therefore the chance that the total duration of the next 100 calls is more than 15 hours is 1.0000  0.5662
 11 months ago

kyusakazakiBest ResponseYou've already chosen the best response.0
@kropot72 that's incorrect , thnx
 11 months ago
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