In 2018-2019 season, Adam had a free throw success percentage of 64.2%. Assume that free throw...
In 2018-2019 season, Adam had a free throw success percentage of 64.2%. Assume that free throw shots are independent and that he had 8 free throws in a game.
Let X= number of free throws made in the next game.
-X has a binomial distribution, state the value of n and p.
-Find the binomial properties. Create a probability distribution table for X and show this probability distribution below.
(Write the following in terms of x in part A and in part B determine the probabability)
-Half are made
a. x=
b. Probabability=
-At least one is missed
a. x=
b. probabability=
-None are made
a. x=
b. probability=
Homework Answers
Here X has binomial distribution with following parameters
The pdf of X is
Following table shows the probability distribution of X:
| X | P(X=x) |
| 0 | 0.0003 |
| 1 | 0.0039 |
| 2 | 0.0243 |
| 3 | 0.0871 |
| 4 | 0.1953 |
| 5 | 0.2802 |
| 6 | 0.2513 |
| 7 | 0.1287 |
| 8 | 0.0289 |
The probability that at least one is missed is
The probability that none are made is
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