The average gain in life expectancy at birth in the US has remained almost constant for 150 years, at an increase of 3 months in life expectancy per year.Assume that this rate of increase continues. Life expectancy in the US in 2017 was 79.1 years.1   (a)  Is life expectancy increasing linearly or exponentially?    linearly   exponentially  (b) Find a formula for life expectancy, L, in years, in the US at birth as a function of the number of years t since 2000. L=      (c) What is the predicted life expectancy for babies born in 2059?Round your answer to two decimal places. The predicted life expectancy for babies born in 2059 is    years.

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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!