課程名稱︰統計學一上
課程性質︰必修
課程教師︰王衍智
開課學院：管理學院
開課系所︰財務金融學系
考試日期（年月日）︰101.11.21 / 11.28 / 12.05 / 12.19
考試時限（分鐘）：15/10/10/15
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
Statistics I Quiz 3 Date: 21 Nov 2012 Time: 9:10-9:25.
1. A joint probability chart is shown below: (30%):
Y=1 Y=2 Y=3 Y=4
X=1 0.1 0 0 0
X=2 0.2 0.05 0.15 0
X=3 0.15 0.05 0.1 0.2
a) Please write fX|Y(X=a|Y=b).
b) Please find E(X|Y)
c) Please find E(X*Y0.5|Y)
2. A census suggests 0.5% of man get liver cancer at their 40. If Mr. White in
his 40 gets screened for liver cancer and receives a positive test result.
The medical examination he did has error for 1 positive test out of 1000
healthy people and for 10 negative tests out of 1000 people with liver cancer.
What is the probability that he does have liver cancer? (30%)
3. A lottery has 20% of rate to draw a prize. Find the probability of winning
twice out of buying 8 lotteries. (20%)