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homework_4_ans - St Johns University Department of...

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St. John’s University Department of Mathematics and Computer Science Course MTH 1210 Homework #4 ( Binomial and Poisson Distributions ) Mar 25’08 Use the MS Excel program Three_distributions.xls 1 . Drug Effectiveness . A new drug curies 70% of the people taking it. Suppose 20 people take the drug: find the probabilities of the following. a) Exactly 18 people are cured. ANS: 0.028 b) Exactly 17 people are cured. ANS: 0.072 c) At least 17 people are cured. ANS: 0.107 d) At least 18 people are cured. ANS: 0.036 2 . Vitamin A Deficiency . Six mice from the same litter, all suffering from a vitamin A deficiency, are fed a certain dose of carrots. If the probability of recovery under such a treatment is 0.70, find the probabilities of the following results. a) None of the mice recover. ANS: 0.000729 b) Exactly 3 of 6 mice recover. ANS: 0.185 c) All of the mice recover. ANS: 0.118 d) No more than 3 mice recover. ANS: 0.256 3 . Effects of Radiation . In an experiment on the effects of a radiation dose on cells, a beam of radioactive particles is aimed at the group of 10 cells. Find the probability that 8 of the cells will
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