At the local high school, there are 297 students. 71 students are seniors, and out of...

At the local high school, there are 297 students. 71 students are seniors, and out of the 71 students, 53 participate in a sport (while 18 do not participate in a sport). Among those who are not seniors, 69 students participate in a sport and 157 do not. Suppose we choose one student at random from the entire class.

A. Are events "drawing someone who is a senior" and "drawing someone who does not play a sport" mutually exclusive? Why/why not?

B. Are events "drawing someone who is a senior" and "drawing someone who does not play a sport" independent? Why/why not?

(C-E) Suppose you draw five students at random without replacement.

C. What is the conditional probability that the second student drawn is a senior, if the first student drawn is a senior?

D. What is the probability that the second student drawn is a senior, without knowing anything about the first student?

E. What is the probability that among the five students, one of them is a senior?

Solutions

Expert Solution

A) not mutually exclusive

B) Not independent

C) 0.025

D) 0.1057

E) 0.04036

Solution file is attached go through it

Thanks

orchestra answered 1 year ago

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