I need detailed answers to the questions

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Answered 1 days AfterSep 15, 2021

Answer To: I need detailed answers to the questions

Aparna answered on Sep 16 2021
142 Votes
1. Let be the set of all students who passed Calculus I, be the set of all students who passed calculus II, and be the set of all students who passed calculus III.
a. i) = Set of all students who passed Calculus I, Calculus II and Calculus III.
ii) = Set of students who passed Calculus III.
iii) = Set of students who passed Calculus I or Calculus III.
iv) = Set of students who passed Calculus I and Calculus II.
v) = empty set = {
b. i) 1-
    ii)
2.
.
. Therefore,

Now,

3.




4.

(
1/4
) (
E
) (
E
) (
F
) (
E
)
(
0
) (
1/4
) (
1/2
) (
G
)        
Since E, F and G are mutually exclusive events hence, we have Now, the axiom of total probability asserts that the sum of all probability =1. Here, we already have the sum equal to 1, i.e., This shows that all possible probability...
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