<h2>Answer:</h2>
The probability that the team will win exactly 7 matches over the course of one season is:
0.1977
<h2>Step-by-step explanation:</h2>We know that the probability of k successes out of n successes is given by the binomial distribution as:
where p is the probability of success .
Here we are asked to find the probability that the team will win exactly 7 matches over the course of one season.
Since, there are 8 matches over the course of season.
This means n=8
and k=7
and p=0.70
(Since, 0.70 probability of winning a match )
Hence, we get:
Hence, the answer is:
0.1977