Write and solve the system using any method:
1 answer:
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Using the binomial distribution, it is found that:
- The mean of X is of 19.
- The standard deviation of X is of 0.975.
- P(X = 19) = 0.3774.
- There is a 0.9246 = 92.46% probability that practice ends early.
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
The mean of X is:
The standard deviation of X is:
In this problem:
- Faith is a 95% free throw shooter, hence
.
- Each player shoots 20 free throws, hence
.
The <em>mean </em>and the <em>standard deviation</em> are:
P(X = 19) is given by:
The probability that <u>practice ends early</u> is:
In which:
Then:
There is a 0.9246 = 92.46% probability that practice ends early.
You can learn more about the binomial distribution at brainly.com/question/24863377