Py 10 1 py 10 10 1 10 2 1 pz 9 1 1 pz

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Unformatted text preview: the condition (np > 10), one might also consider normal approximation to binomial with continuity correction is adopted for approximation. P(Y > 10) = 1 − P(Y ≤ 10) 10 + 1 − 10 2 √ ≈ 1 − P(Z ≤ ) 9 1 = 1 − P(Z ≤ ) = 1 − 0.5675 = 0.4325. 6 67. True or False: (justify/explain your answer) a. With a large sample, the sample histogram will closely resemble the normal curve. SOLUTION: False. The sample histogram or its edge line will closely resemble the pmf or pdf of the underlying distribution (whatever it is, i.e. discrete, multi-modal, skewed,...), as sample size increases. b. With a large sample, the probability density function of the sample mean will closely resemble the normal curve. SOLUTION: True. This can be seen through Central Limit Theorem. 68. Prior field surveys indicate that 24% of fish in a fish farm are infected with a certain parasite. Give an approximate probability that, in a random sample of 300 fish, between 60 and 84 fish, inclusive, are infected. If, in such a random sample, 85 fish were found to be infected, would this provide stro...
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