Body temperatures of healthy adults have a bell shaped distribution with a mean of 98.20℉ and a standard deviation of 0.62℉. a. What percent of healthy adults with body temperatures within 2 standard deviation of the mean? b. What percent of healthy adults with body temperatures greater than 98.82℉. c. What is the probability that you randomly select a healthy adult with body temperature within 97.59℉ ??? 98.32℉ d. If you randomly select two healthy adults and record their body temperature and the first has a z-score of - 0.33 and second has a z-score of -0.35. Which adult had the warmer temperature?
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!
Body temperatures of healthy adults have a bell shaped distribution with a
a. What percent of healthy adults with body temperatures within 2 standard deviation of the mean?
b. What percent of healthy adults with body temperatures greater than 98.82℉.
c. What is the
d. If you randomly select two healthy adults and record their body temperature and the first has a z-score of - 0.33 and second has a z-score of -0.35. Which adult had the warmer temperature?
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