For the sample space S it is given that: P(R) = 0.3, P(T) = 0.5, P(R|T) = 0.25.
a. Find the probability of P(R ∩ T)
b. Draw a clearly labeled Venn diagram and their respective probabilities
c. Clearly state (with reasons) whether the sets R and T are
i. Mutually exhaustive
ii. Mutually exclusive
iii. Mutually independent
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