The length of incoming calls at the call center of a major telecommunication service provider follows...
- The length of incoming calls at the call center of a major
telecommunication service provider follows a Normal distribution
with an average of 7.5 minutes. If the standard deviation of the
distribution is 5 minutes, answer the following questions:
- What is the probability that the length of an incoming call is longer than 9.5 minutes?
- What is the probability that the length of an incoming call is shorter than 6 minutes?
- What is the probability that the length of an incoming call is between 6.5 to 25 minutes?
- 25% of the incoming calls is longer than how many minutes?
Homework Answers
Q.1) Given that, mean 
= 7.5 minutes
and
standard deviation 
= 5
minutes
We want to find, the following probabilities,
a)
The probability that the length of an incoming call is longer than 9.5 minutes is 0.3446
b)
The probability that the length of an incoming call is shorter than 6 minutes is 0.3821
c)
The probability that the length of an incoming call is between 6.5 to 25 minutes is 0.5791
d) We want to find, x such that, P(X > x) = 0.25
Therefore, 25% of the incoming calls is longer than 10.85 minutes
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