Comcast Corporation is the largest cable television company, the second largest Internet service provider, and the fourth largest telephone service provider in the United States. Generally known for quality and reliable service, the company periodically experiences unexpectedservice interruptions. On January 14, 2014, such an interruption occurred for the Comcastcustomers living in southwest Florida. when customers called the Comcast office, a recordedmessage told them that the company was aware of the service outage and that it was anticipated that service would be restored in two hours. Assume that two hours is the mean time todo the repair and that the repair time has an exponential probability distribution.a. what is the probability that the cable service will be repaired in one hour or less?b. what is the probability that the repair will take between one hour and two hours?c. For a customer who calls the Comcast office at 1:00 p.m., what is the probability thatthe cable service will not be repaired by 5:00 p.m.?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Comcast Corporation is the largest cable television company, the second largest Internet service provider, and the fourth largest telephone service provider in the United States. Generally known for quality and reliable service, the company periodically experiences unexpected
service interruptions. On January 14, 2014, such an interruption occurred for the Comcast
customers living in southwest Florida. when customers called the Comcast office, a recorded
message told them that the company was aware of the service outage and that it was anticipated that service would be restored in two hours. Assume that two hours is the mean time to
do the repair and that the repair time has an exponential probability distribution.
a. what is the probability that the cable service will be repaired in one hour or less?
b. what is the probability that the repair will take between one hour and two hours?
c. For a customer who calls the Comcast office at 1:00 p.m., what is the probability that
the cable service will not be repaired by 5:00 p.m.?
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