-Assuming that age at death is a normal distribution; mean age at death is 74.1 with a std deviation of 17.9 I) Determine probability that a random person has an age between 70 and 78 years at time of death. II) what is the 20th percentile for age at death? how many live to be 100 III) if 1 percent of people die at an older age than yourself, what age would you be?
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!
-Assuming that age at death is a
I) Determine probability that a random person has an age between 70 and 78 years at time of death.
II) what is the 20th percentile for age at death? how many live to be 100
III) if 1 percent of people die at an older age than yourself, what age would you be?
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