the local college is included the mike run in a fitness test for seniors. suppose the time for this event for seniors is known to posses a normal distribution with the mean of 469 seconds and a standard deviation of 50 seconds. find the probability that a randomly selected student can run the mile in less than 345 seconds. A. 0.0107 B. 0.4893 c. 0.3264 d. 0.9893 2. assume that the weights of new born babies in american are normally distributed with a mean of 7.5 pounds and standard deviation of 1.26 pounds. find the weight of a baby at the 79th percentile a. 8.6 b. 9.0 c. 8.5 d. 8.2
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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