课程名称︰ 生物资讯学演算法 期中考 课程性质︰ 资讯系选修 课程教师︰ 欧阳彦正 开课学院： 资讯系 开课系所︰ 电机资讯学院 考试日期（年月日）︰ 2005/11/11 考试时限（分钟）： 是否需发放奖励金： yes （如未明确表示，则不予发放） 试题 : (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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