課程名稱︰高等生物統計法(一)
課程性質︰系選修
課程教師︰蘇秀媛
開課學院：生農院
開課系所︰農藝系
考試日期（年月日）︰99.10.15
考試時限（分鐘）：120分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
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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