Afootball stadium has an attendance of 4997 people. of these, 2118 are cheering for team a and 2568 are female. of the people cheering for team a, 982 are female. find the probability that a randomly selected attendee is female or cheers for team a. (a) are the events "cheering for team a" and "being a female" mutually exclusive? no yes (b) what is the probability that a randomly selected attendee is female or cheers for team a? nothing (type an integer or decimal rounded to three decimal places as needed.)

(a) No

(b) 0,197 or 19.7%

Step-by-step explanation:

So, we have the following data:

Total attendees: 4,997 people

Supporters for team A: 2,118

Female supporters in attendance: 2,568

Female supporters for team A: 982

​(a) Are the events​ "cheering for Team​ A" and​ "being a​ female" mutually​ exclusive?

No, since there were females cheering for team A, 982 of them.  If they were mutually exclusive, there would be none.

​(b) What is the probability that a randomly selected attendee is female or cheers for Team​ A?

There are 982 female supporters of team A among a crowd of 4,997 people.

So, the probability that a person chosen at random from the attendance is a female supporting team A is 982 out of 4,997

P = 982 / 4997 = 0.1965

Rounded to 3 decimals: 0,197 or 19.7%

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