If the probability of a basketball player making each shot is 0.8, and the results of each shot are independent of each other, then the player is most likely to make ____ out of 10 shots
Question
If the probability of a basketball player making each shot is 0.8, and the results of each shot are independent of each other, then the player is most likely to make ____ out of 10 shots
Solution
The most likely number of successful shots is given by the expected value (mean) of a binomial distribution, which is calculated as:
E(X) = n * p
where:
- E(X) is the expected value
- n is the number of trials (in this case, the number of shots)
- p is the probability of success on a single trial (in this case, the probability of making a shot)
In this case:
- n = 10 (the number of shots)
- p = 0.8 (the probability of making a shot)
Substituting these values into the formula, we get:
E(X) = 10 * 0.8 = 8
So, the player is most likely to make 8 out of 10 shots.
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