readings

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Readings: Chap. 5 (pgs. 111-113), Chap. 6 (pgs. 137, 139), Chap. 6 (pgs. 140-141), Cha (pgs. 143-146), Chap. 6 (pgs. 147-149, 152), Chap. 6 (pgs. 153-155) Textbook Problems: 5.9, 5.31, 6.5, 6.10, 6.20, 6.21, 6.26 5.9(Solution) P(X > 4) = (1 - p) ^ 4 = 0.75 ^ 4 = 0.31640625 The probability that X > 4 is about 31.64% Since 4 is a small number, you can verify the probability by: P(X > 4) = 1 - P(X=1) - P(X=2) - P(X=3) - P(X=4) Where: P(X=k) = p * (1 - p) ^ (k-1) P(X=1) = 0.25 * (1 - 0.25) ^ (1-1) = 0.25 P(X=2) = 0.25 * (1 - 0.25) ^ (2-1) = 0.1875 P(X=3) = 0.25 * (1 - 0.25) ^ (3-1) = 0.140625 P(X=4) = 0.25 * (1 - 0.25) ^ (4-1) = 0.10546875 So P(X > 4) = 1 - 0.25 - 0.1875 - 0.140625 - 0.10546875 = 0.31640625 The results match, so it's correct. 6.5(Solution)

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Page 1: Readings

Readings: Chap. 5 (pgs. 111-113), Chap. 6 (pgs. 137, 139), Chap. 6 (pgs. 140-141), Chap. 6 (pgs. 143-146), Chap. 6 (pgs. 147-149, 152), Chap. 6 (pgs. 153-155)

Textbook Problems: 5.9, 5.31, 6.5, 6.10, 6.20, 6.21, 6.26

5.9(Solution)

P(X > 4) = (1 - p) ^ 4 = 0.75 ^ 4 = 0.31640625 

The probability that X > 4 is about 31.64% 

Since 4 is a small number, you can verify the probability by: 

P(X > 4) = 1 - P(X=1) - P(X=2) - P(X=3) - P(X=4) 

Where: P(X=k) = p * (1 - p) ^ (k-1) P(X=1) = 0.25 * (1 - 0.25) ^ (1-1) = 0.25 P(X=2) = 0.25 * (1 - 0.25) ^ (2-1) = 0.1875 P(X=3) = 0.25 * (1 - 0.25) ^ (3-1) = 0.140625 P(X=4) = 0.25 * (1 - 0.25) ^ (4-1) = 0.10546875 

So P(X > 4) = 1 - 0.25 - 0.1875 - 0.140625 - 0.10546875 = 0.31640625 

The results match, so it's correct. 

6.5(Solution)