A football 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.)

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sylvain96 sylvain96 · Answer 1 · 2019-06-09T14:42:50+02:00

Answer:

(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%