The time it takes a person to recover from a cold is normally distributed with a mean of 8 days and a standard deviation of 0.6 days. 1. Suppose an individual with a cold is randomly selected. What is the probability that they recover within 7.9 days? o What distribution will you use to calculate this probability? NO o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a chance that the individual recovers within 7.9 days. 2. Suppose 1Op individuals with colds are randomly selected. What is the probability that, on average, they recover within 7.9 days? o What distribution will you use to calculate this probability? N List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma, chance that the 100 individuals with recover within an o There is a average of 7.9 days. Question Help: D Post to forum
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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