Attendance at large exhibition shows in Denver averages about 7900 people per day, with standard deviation of about 525. Assume that the daily attendance figures follow a normal distribution. (Round your answers to four decimal places.) (a) What is the probability that the daily attendance will be fewer than 7200 people? (b) What is the probability that the daily attendance will be more than 8900 people? (c) What is the probability that the daily attendance will be between 7200 and 8900 people?
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!
Attendance at large exhibition shows in Denver averages about 7900 people per day, with standard deviation of about 525. Assume that the daily attendance figures follow a
(b) What is the probability that the daily attendance will be more than 8900 people?
(c) What is the probability that the daily attendance will be between 7200 and 8900 people?
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