課程名稱︰ 生物資訊學演算法 期中考
課程性質︰ 資訊系選修
課程教師︰ 歐陽彥正
開課學院： 資訊系
開課系所︰ 電機資訊學院
考試日期（年月日）︰ 2005/11/11
考試時限（分鐘）：
是否需發放獎勵金： yes
（如未明確表示，則不予發放）
試題 :
(25%) A designer is requested to design a boat that can accommodate 100
passengers. According to prior weight of a male passenger is 75kg with
standard deviation = 5kg and the average weight of a female passanger
is 65kg with standard deviation = 4kg. What is the loading capacity that
the boat should have in order to make the probability of overloading is
less 1%, when 100 ppassengers are on board? (Hint: E[aX+bY] = aE[X]+bE[Y],
Var[aX+bY] = a^2Var[X] + b^2Var[Y], if X and Y are independent.)
(25%+10%)A doctor wants to determine whether darkness of skin color and
and the likehood of suffering skin cancer are correlated or not. Follwing is
a data set that the doctor has acquired, in which each patient's darkness
of skin color is quantified by 3 levels. Does the doctor have over 95%
confidence to claim that darkness of skin color and the likehood of
suffering skin cancer are corrected? If yes, are they positively correlated
or negatively correlated? Note that the probability distrubution function
of a chi-square random vaariable with degree of freedom = 2 is
Fz(z)=1-exp(-0.5z). If your can figure out the answer without asking ofr the
table of chi-square distribution, then you earn an additional 10 points.
(25%)A candidate named Edward asked his staff to conduct a poll to figure
out how likely he will win the campaign. If 1050 out of the 2000 voters who
were polled said that they would vote fo Edward, then does Edward have over
99% of confidence that he will over 50% of the votes in win the campaign?
(25%)Given the training dataset shown on the next page, if tomorrow's weather
is predicted to be
Outlook = sunny;
Temperature = 75;
Humidity = 80;
Windy = false;
then can you predict whether PLAY will proceed or not based on the naive
Bayesian classifer?
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