8 + (2 x 5) x 3 to the power of 4 divided by 9. plz show work

a. P(E) = 1033/ 2851=0.3623

P(R) = 854/2851=0.2995

P(D) = 964/2851=0.3381

P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004

(d)  0.423 158

Step-by-step explanation:

a. P(E) = 1033/ 2851=0.3623

P(R) = 854/2851=0.2995

P(D) = 964/2851=0.3381

(b) Are events E and D mutually exclusive?

Yes these events are mutually exclusive. If students are deferred they may be admitted later but not early.  Mutually Exclusive or disjoint events do not occur at the same time.

P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004

(c) For the 2,375 students who were admitted,  the probability that a randomly selected student was accepted during early admission is

P(E) = 1033/ 2851=0.3623

P(E) + P(D for later admission)  =0.3623 + 18%*0.3381

                                                    =0.3623 + 0.0609 = 0.423 158