The capacities at which U.S. nuclear power plants are working are shown in table for various years. Year Percent 1975 56 1980 59 1985 58 1990 70 1995 76 2000 88 2004 89 Let f(t)f(t) be the capacity (in percent) at which U.S. nuclear power plants are working at t years since 1970. A model of the situation is f(t)=0.027t2+0.216t+53.296f(t)=0.027t2+0.216t+53.296. Use a graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well? The function is not a good model for the data The function is a good model for the data. Estimate at what capacity U. S. nuclear power plants were working in 2015. % Round to the nearest whole percent. Predict when U. S. nuclear power plants will be working at full (100%) capacity. Enter the year this occurs.
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!
The capacities at which U.S. nuclear power plants are working are shown in table for various years.
| Year | Percent |
|---|---|
| 1975 | 56 |
| 1980 | 59 |
| 1985 | 58 |
| 1990 | 70 |
| 1995 | 76 |
| 2000 | 88 |
| 2004 | 89 |
Let f(t)f(t) be the capacity (in percent) at which U.S. nuclear power plants are working at t years since 1970. A model of the situation is f(t)=0.027t2+0.216t+53.296f(t)=0.027t2+0.216t+53.296.
Use a graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well?
- The function is not a good model for the data
- The function is a good model for the data.
Estimate at what capacity U. S. nuclear power plants were working in 2015.
% Round to the nearest whole percent.
Predict when U. S. nuclear power plants will be working at full (100%) capacity.
Enter the year this occurs.
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