On Saturday mornings, customers enter a boutique at a suburban shopping mall at an average rate of 0.5 per minute. What is the probability that: 3 customers arrive in a specified 5-minute interval of time. less than 2 customers arrive in a specified1-hour interval of time.
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!
On Saturday mornings, customers enter a boutique at a suburban shopping mall at an average rate of 0.5 per minute. What is the probability that:
- 3 customers arrive in a specified 5-minute interval of time.
- less than 2 customers arrive in a specified1-hour interval of time.
- 3 customers arrive in a specified 10-minute interval of time.
- less than 3 customers arrive in a specified 10-minute interval of time.
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