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Answer:
The mean for the number of matches that they win in the tournament is 20.
Step-by-step explanation:
For each match, there are only two possible outcomes. Either they win, or they do not. The probability of winning a match is independent from other matches. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The Stomping Elephants volleyball team plays 30 matches in a week-long tournament.
This means that
On average, they win 4 out of every 6 matches.
This means that
What is the mean for the number of matches that they win in the tournament?
The mean for the number of matches that they win in the tournament is 20.
The slope-intercept form:
m - slope
b - y-intercept
We have the slope m = 1/4 and y-intercept (0, -4) → b = -4.
Answer: