Question

Hello, Can someone show me how to Answer these questions please?! Question1) Given the following information,...

Hello,

Question1) Given the following information, answer questions a - d.
P(A)=0.48P(A)=0.48
P(B)=0.41P(B)=0.41
A and B are independent.
Round all answers to 5 decimal places as needed

a) Find P(A∩B).

b) Find P(A∪B).

c) Find P(A∣B).

d) Find P(B∣A).

Given the following information, answer questions e - g.
P(A)=0.48P(A)=0.48
P(B)=0.41P(B)=0.41
A and B are dependent.
P(A|B) = 0.14
Round all answers to 5 decimal places as needed

e) Find P(A∩B).

f) Find P(A∪B).

g) Find P(B∣A).

Question2) An exam was given to a group of freshman and sophomore students. The results are summarized below:

 A B C Freshman 198 127 128 Sophomore 183 136 123

If one student is chosen at random from those who took the exam, find the probability that:
Round all answers to 4 decimal places as needed

a)The student was a sophomore.

b)The student was a freshman or received a B.

c) The student was a sophomore, given they got a B.

d) The student got an A, given they are a freshman.

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