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In: Statistics and Probability

Printed circuit cards are placed in a functional test after being populated with semiconductor chips. Suppose...

Printed circuit cards are placed in a functional test after being populated with semiconductor chips. Suppose that there are 8 blue credit cards, 6 red credit cards and 4 blue debit cards in a box. It is known that color and card type are to be independent when a card is selected at random from this box.

a) How many red debit cards must be present?

b) Suppose that, 5 cards are randomly selected in a row without replacement. What is the probability that 3 blue credit cards and 2 blue debit cards are selected?
c) Suppose that, 5 cards are randomly selected in a row with replacement. What is the probability that 3 blue credit cards and 2 blue debit cards are selected?

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