课程名称︰高等生物统计法(一) 课程性质︰系选修 课程教师︰苏秀媛 开课学院：生农院 开课系所︰农艺系 考试日期（年月日）︰99.10.15 考试时限（分钟）：120分钟 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 1. A bag of 36 dum-dum pops(suckers) contains up to 10 flavor, i.e., there are from 0 to 36 suckers of each of 10 flavor in a bag. How many different flavor combinations are possible? 2. A single card is drawn at random from each of six well shuffled decks of playing cards. Let A be the event that all six cards drawn are different. (a) Find P(A) (b) Find the probability that at least five of the drawn cards match. 3. A doctor is concerned about the relationship between blood pressure and irregular heartbeats. Among her patients, she classifies blood pressures as high, normal, or few and heartbeats as regular or irregular and find that (a) 16% have high blood pressure; (b) 19% have low blood pressure; (c) 17% have an irregular heartbeat; (d) of those with an irregular heartbeat, 35% have high blood pressure; and (e) of those with normal blood pressure, 11% have an irregular heartbeat. What percentage of her patients have a regular heartbeat and low blood pressure? 4. If A is any event, prove that (a) P(A') = 1 - P(A) (b) P(A) ≦ 1. If A, B are any events, such that A（ B, prove that (c) P(A) ≦ P(B).　 5. Show that if A, B and C are mutually independent, then (a) A and (B∪C), (b) A' and (B∩C') are independent. (c) A', B' and C' are mutually independent. --

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