2. (a) Two events E, and E, associated with a sample space of an experiment are such that P(E,) = 0.27 , P(E,) = 0.40 and P(E, U E,) = 0.58 . Determine whether E, and Ez are independent. Two events A and B are such that, they are independent and P(A) = x and P(B) = x + 0.2 and P(A n B) = 0.15 . Find (b) i) the value of x P(AU B) and P(A° /B“) , where A° ,Bº are the complements of events A and B respectively. ii)

MATLAB: An Introduction with Applications
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2.
(a)
Two events E, and E, associated with a sample space of an experiment are such that
P(E,) = 0.27 , P(E,) = 0.40 and P(E, U E2) = 0.58. Determine whether
E, and E, are independent.
Two events A and B are such that, they are independent and P(A) = x and
P(B) = x + 0.2 and P(An B) = 0.15. Find
(b)
i)
the value of x
P(AU B) and P(A° /B“), where A , Bº are the complements of events
A and B respectively.
ii)
Transcribed Image Text:2. (a) Two events E, and E, associated with a sample space of an experiment are such that P(E,) = 0.27 , P(E,) = 0.40 and P(E, U E2) = 0.58. Determine whether E, and E, are independent. Two events A and B are such that, they are independent and P(A) = x and P(B) = x + 0.2 and P(An B) = 0.15. Find (b) i) the value of x P(AU B) and P(A° /B“), where A , Bº are the complements of events A and B respectively. ii)
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