MAT 153 Pepsi Pepsi Pepsi Three students volunteer for a taste test comparing Coke and Pepsi. Each student tastes samples in two identical-looking cups and decides which beverage he or she prefers. Assume that the students make selections independently of one another. Suppose the probability of picking Pepsi is 3/5 and the probability of picking Coke is 2/5 for all three students. The tasters are referred to as first, second and third. One possible outcome of the experiment is that the first and second students pick Pepsi and the third student picks Coke. The probability of this occurring is 3/5 x 3/5 x 2/5. Let the random variable x equal the number of Pepsi selections for any given outcome of the experiment. paco Tor he oucomes of the experiment. (HINT: There should be a total of 8 outcomes.) Define the probability distribution with X-number of Pepsi selections of an outcome Calculate the mean (expected value) and standard deviation of the distribution. Interpret the meaning of the mean and standard deviation.
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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