Zippbots is sucking on a big lollipop he eats 1 half of the lollipop how much does he have?
2 answers:
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Answer:
The average number of points this player will get in 100 one-and-one free throw situations is 70.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either the player makes it, or he does not. The probability of the player making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
70% free throw percentage.
This means that
What is the average number of points this player will get in 100 one-and-one free throw situations?
This is E(X) when n = 100. So
The average number of points this player will get in 100 one-and-one free throw situations is 70.
Answer:
Work Shown:
Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).