An EEC 512 col student has five different t-shirts and three pairs of jeans (\"b

Question

An EEC 512 col student has five different t-shirts and three pairs of jeans ("brand new," "broken in," and perfect"). (a) How many days can the student dress without repeating the combination of jeans and t-shirt? (b) How many days can the student dress without repeating the combination of jeans and t-shirt and without wearing the same t-shirt on two consecutive days? A computer manufacturer uses chips from three sources. Chips from sources A, B, and C are defective with probabilities..005, .001, and .010, respectively. If a randomly selected chip is found to be defective, (a) find the probability that the manufacturer was A and (b) that the manufacturer was C. Assume that the proportions of chips from A, B, and C are 0.5, 0.1, and 0.4, respectively.

Explanation / Answer

a) Dress without repeating = 5 * 3 = 15 days

b) The maximum amount of time the student can dress without repeating a combination of jeans and t-shirt is at the most 15 days. Many combinations can be found that comply with the restriction that the student cannot wear the same t-shirt on two consecutive days. One such combination is:

(S1, J1), (S2, J1), (S3, J1), (S4, J1), (S5, J1), (S1, J2), (S2, J2), (S3, J2), (S4, J2), (S5, J2), (S1, J3), (S2, J3), (S3, J3), (S4, J3), (S5, J3). Where S1 represents “shirt 1,” J1 represents “jeans 1”, and so on.

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