Question

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

Hello,

Can someone show me how to Answer these questions please?!

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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