Suppose R and Q are two events such that P(R)= .14, P(Q) = .52, and P(R∩Q)= .20, find P(RUQ), are the events mutually exclusive why or why not?

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P(R I Q) = P(RnQ) / P(Q) = 0.1 Therefore P(RnQ) = 0.1 X 0.35 = 0.035 (The intersection in the centre of a Venn Diagram)

P(RnQ') = 0.15 In a Venn Diagram this is R but excluding the centre intersection with Q. Therefore P(R) = P(RnQ') + P(RnQ) = 0.15 + 0.035 = 0.185

P(RUQ) = 0.15 + 0.035 + 0.315 = 0.5 so 0.5 must be outside the Venn Diagram circles.

Explanation:

hope this helps

answer: the net deposit amount   (option c)

in order to fill in the deposit slip, michael needs to fill in the amount that he wants to deposit in the bank. without the net deposit amount, he will not be able to deposit the money because it is mandatory for him to mention it, as the bank needs to maintain a record to avoid any inconveniences for the bank and michael in the future.

the bank officer checks and verifies the amount received against the amount written on the deposit slip to process the slip.