You and your friend carpool to school. Your friend has promised that he will come pick you up at your place at 8am, but he is always late(!) The amount of time he is late (in minutes) is a Uniform random variable between 3 and 13 minutes. Which of the following statements is/are true? CHECK ALL THAT APPLY. A. The mean amount of time that your friend is late is 8 minutes. OB. It is less likely that your friend is late for more than 12 minutes than he is late for less than 4 minutes. OC. The standard deviation of the amount of time that your friend is late is 2.89 minutes. D. None of the above
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!
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