350rechw3sol

350rechw3sol - Statistics 350 – Fall 2006 Solutions to...

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Unformatted text preview: Statistics 350 – Fall 2006 Solutions to Recommended Problems for HW 3 Chapter 8 (pages 321 – 328) ---- (pages 285 – 291 in the 2 nd edition) The following is the correspondence between the 3 rd-> 2 nd edition problem numbers: 8.2 – same, 8.6-> 8.3, 8.7-> 8.4, 8.19 ->8.16, 8.33 -> 8.30, 8.34 -> 8.31, 8.48 -> 8.48, 8.63 –> 8.58, 8.81 -> 8.78, 8.87 -> 8.84 8.2 a. discrete b. continuous c. discrete d. discrete 8.6 a. ½ b. 0.1 8.7 1 – (0.05 + 0.20 + 0.50 + 0.15) = 0.10. (The sum of all probabilities must equal 1.) a. ∑ = = = 25 . 20 ) ( i i p x X E μ questions. b. 87 . 4 69 . 23 2 2 2 = ⇒ = − = ∑ σ μ σ i i p x questions. c. 263 . 95 . 25 . ) 15 ( ) 25 ( ) 15 ( ) 15 25 ( ) 15 | 25 ( = = ≥ ≥ = ≥ ≥ ≥ = ≥ ≥ X P X P X P X and X P X X P 8.19 a. E( X ) = (0 x 0.05) + (1 x 0.60) + (2 x 0.30) + (3x 0.05) = 1.35. b. The average number of children per family over many families similar to the Brann family. c. No. The expected value of 1.35 is an impossible number of children for one family. 8.33 a. Yes. n = 10 and p = 0.5. c. No. The “trials” (cities) are not independent of each other as they will tend to have the same weather....
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350rechw3sol - Statistics 350 – Fall 2006 Solutions to...

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