The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. Days $Receipts 0 152.535 14 33.111 28 14.666 42 5.587 56 2.95 70 1.567 84 0.852 98 0.397 112 0.279 126 0.518 Estimate the instantaneous rate of change of the daily receipts on day 70.
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 following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012.
| Days | $Receipts |
|---|---|
| 0 | 152.535 |
| 14 | 33.111 |
| 28 | 14.666 |
| 42 | 5.587 |
| 56 | 2.95 |
| 70 | 1.567 |
| 84 | 0.852 |
| 98 | 0.397 |
| 112 | 0.279 |
| 126 | 0.518 |
Estimate the instantaneous rate of change of the daily receipts on day 70.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
