Answer: The required probability is 0.3456.
Step-by-step explanation:
Since we have given that
Probability of winning at any given time = 0.6
Probability of losing at any given time = 1-0.6 = 0.4
Number of total matches = 5
Number of won matches = 3
So, using "Binomial distribution", we get that
Hence, the required probability is 0.3456.
So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):
Now that we have their y's, we can use the slope, aka average rate of change, formula, which is . Using what we have, we can solve it as such:
In short, the average rate of change from x = 0 to x = 8 is 5/21.