You have a sample of 10 pea flowers. 4 of them are white, 6 purple. If you line

Question

You have a sample of 10 pea flowers. 4 of them are white, 6 purple. If you line them up in a row, how many different arrangements can you get? WWWWPPPPPP is one arrangement, WPWPPWPPPW is another arrangement, and so on. You do NOT want to actually list all possible arrangements - instead, use what you learned in class to calculate this. 2) In the U.S.. about 15% of people are Rh negative for blood type. You take a sample of size 9. Figure out the following probabilities: a)Pr {Y = 2} b)Pr {K = 5} c)Pr {K 2}

Explanation / Answer

1) total flowers = 10

number of different arrangements = 10! / (4! * 6!)

                                                      = 210

2) p = 0.15

n = 9

a) P(Y = 2) = 9C2 * 0.152 * 0.857 = 0.2597

b) P(Y = 5) = 9C5 * 0.155 * 0.854 = 0.005

c) P(Y < 3) = P(Y = 0) + P(Y = 1) + P(Y = 2)

                  = 9C0 * 0.150 * 0.859 + 9C1 * 0.151 * 0.858 + 9C2 * 0.152 * 0.857

                = 0.8591

d) P(Y > 2) = 1 - P(Y < 2)

                  = 1 - P(Y < 3)

                  = 1 - 0.8591

                  = 0.1409

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