A technician services mailing machines at companies in the Phoenix area. Depending onthe type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types ofmalfunctions occur at about the same frequency.a. Develop a probability distribution for the duration of a service call.b. Draw a graph of the probability distribution.c. Show that your probability distribution satisfies the conditions required for a discreteprobability function.d. what is the probability a service call will take three hours?e. A service call has just come in, but the type of malfunction is unknown. It is 3:00 p.m.and service technicians usually get off at 5:00 p.m. what is the probability the servicetechnician will have to work overtime to fix the machine today?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A technician services mailing machines at companies in the Phoenix area. Depending on
the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of
malfunctions occur at about the same frequency.
a. Develop a probability distribution for the duration of a service call.
b. Draw a graph of the probability distribution.
c. Show that your probability distribution satisfies the conditions required for a discrete
probability function.
d. what is the probability a service call will take three hours?
e. A service call has just come in, but the type of malfunction is unknown. It is 3:00 p.m.
and service technicians usually get off at 5:00 p.m. what is the probability the service
technician will have to work overtime to fix the machine today?
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