Question

1. (6 points) M Daviglus et al (N Engl J Med 1997) examined the relationship of fish consumption with death from coronary heart disease (CHD) among 1,822 male employees of the Western Electric Company Hawthorne Works in Chicago who were followed for 30 years. Among 189 men who reported consumption of 0 g/day of fish at baseline, 48 died of coronary heart disease during follow-up.

b. Assume the probability of death from CHD during follow-up is 48/189 = 0.2540 (measured without error). Based on the probability distribution in (a.), what is the probability that in a random sample of 10 of these non-fish eaters, exactly 3 will die of CHD during follow-up? Also, what is the probability that at least 3 will die of CHD?

Answer 1

Let X denotes the numbeyn of non- fish e aers in he Sample nwh o wi die CHO duming follow-up Here SameLe Size is n-lo Let p denotes he prpbabiihy of deah from C HD of a an dom seleeted non fish e aHeS so, X ~ Bin ( n 10, ρ 0, 254 The pmf of X is 10-х. o 254) 2 54)

wiLl die of CHO dumng follow- wp - 10 3 3 10-3 0 254)254 0 25 284 of CHO dumina follo w- up 10 。 (0.251) (1-0, 254丿 0/ "(") '0-1 (0,254) (1-0,254丿 (0 . 254'(1-0.254)10-2 2 0 05338 0 18175 0 27 848 0 48 639