In: Statistics and Probability
The probability that a certain hockey team will win any given game is 0.3628 based on their 13 year win history of 377 wins out of 1039 games played (as of a certain date). Their schedule for November contains 12 games. Let X = number of games won in November. Find the probability that the hockey team wins at least 7 games in November. (Round your answer to four decimal places.)
Please use TI-84 calculator not excel. Thanks!
Solution
We are given that:
p=the probability that a certain hockey team will win the game=0.3628
In November there are 12 games.
Thus n=sample size=12
We have to find the probability that the hockey team will win at least 7 games in November.
That is we have to find:
Which can be written as
To find use TI 84 calculator.
Steps are
Step 1: Press 2nd button
Step 2 : press VARS
step 3: select binomcdf(
And enter numbers
Step 4 : select paste and Press enter button two times, which results following
thus we get
Thus
Thus the probability that hockey team will win at least 7 games is 0.1007