A professor receives, on average, 100 e-mails from students the day before the final exam. To compute the probability of receiving at least 25 e-mails on such a day, he will use what type of probability distribution? a.hypergeometric distribution b.poisson distribution. c.All of the choices provided are wrong d.normal distribution. e.binomial distribution. If X is normally distributed, given mean is 0 and variance is 4, P(X< -2) is equal to which of the following? a.1 - P(X< -2)
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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