The time it takes an international telephone operator to place an overseas phone call is normally distributed with mean 45 seconds and standard deviation 10 seconds. a. What is the probability that my call will go through in less than 1 minute? b. What is the probability that I will get through in less than 40 seconds? c. What is the probability that I will have to wait more than 70 seconds for my call to go through?
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!
The time it takes an international telephone operator to place an overseas phone call is
a. What is the probability that my call will go through in less than 1 minute?
b. What is the probability that I will get through in less than 40 seconds?
c. What is the probability that I will have to wait more than 70 seconds for my call to go through?
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