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# Hw 4 - pmf of X 2 you found in 4(b What does this say about...

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Engineering Statistics ENGRD270 Homework 4: Random variables Spring 2008 Hand in by 1:30pm on Fri, Feb 22 in the ENGRD270 dropbox 1. Devore (7th Ed.) Page 90, Exercise 8. 2. Devore (7th Ed.) Page 99, Exercise 20. 3. Devore (7th Ed.) Page 107, Exercise 35. 4. Devore (7th Ed.) Page 107–8, Exercise 44(a), (b), (only). However in (b), use the distribution from Exercise 35 above instead of Exercise 13. 5. Devore (7th Ed.) Page 194, Exercises 3 and 4. However, instead of the table given, use: x 2 0 1 2 3 0 .09 .06 .03 .01 1 .07 .13 .06 .03 x 1 2 .05 .05 .08 .06 3 .01 .03 .03 .07 4 .00 .01 .05 .08 Also, ﬁnd the conditional pmf of X 2 given that X 1 = 3. Compare it to the marginal
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Unformatted text preview: pmf of X 2 , you found in 4(b). What does this say about the independence or non-independence of X 1 and X 2 ? Explain. 6. Devore (7th Ed.) Page 113, Exercise 47. (Check your answers with MINITAB.) 7. Devore (7th Ed.) Page 114, Exercises 50 and 51. 8. Devore (7th Ed.) Page 121, Exercise 75. 9. Devore (7th Ed.) Page 125, Exercise 80, but use λ = 7 instead of λ = 8. (Check your answers with MINITAB.) 10. Devore (7th Ed.) Page 125, Exercise 88, , but use failure probability .015 instead of .01. [Hint: In part (b), consider the Poisson approximation to the binomial — Devore 7e p.122–3]. 11. Devore (7th Ed.) Page 128, Exercise 108....
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