Answer :
Answer:
0.014
Step-by-step explanation:
The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).
This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.
[tex]P(X=x) = \frac{n!}{(n-x)!x!}*p^ x*(1-p)^{(n-x)}[/tex]
Thus:
[tex]P(X=6) = 7*0.38^6*0.62\\P(X=6) =0.01307\\P(X=7) = 0.38^7\\P(X=7) =0.00114[/tex]
The probability is:
[tex]P(X\geq 6) = 0.01307+0.00114\\P(X\geq 6) = 0.014[/tex]
The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.