If a and b are two mutually exclusive events with p(a) = 0.35 and p(b) = 0.55, find the following probabilities: a. p(a ∩ b) = b. p(a ∪ b) = c. p(a)' = d. p(b)' = e. p(a ∪ b)' = f. p(a ∩ b' ) =

a) P(A∩B)=0.35×0.55=0.1925

b)P(A∪B)=0.35+0.55=0.9

c)P(A)'=1-0.35=0.65

d)P(B)'=0.45

e)P(A∪B)'=0.1

f)P(A∩B)'=1-0.1925=0.8075

Step-by-step explanation:

a) P(A∩B)=0.35×0.55=0.1925

b)P(A∪B)=0.35+0.55=0.9

c)P(A)'=1-0.35=0.65

d)P(B)'=0.45

e)P(A∪B)'=0.1

f)P(A∩B)'=1-0.1925=0.8075

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step-by-step explanation:

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