math questions~help plz

2007-03-17 3:29 pm
1.Find the digit in the ten-thousandth place of the series:
1+(1/1!)+(1/2!)+(1/3!)+(1/4!)+.....
A.1 B.2 C.5. D.7 E.8

2.A box contains ping pong balls. There are red ones, white ones, and blue ones. A red one is worth 10 points, blue is worth 5 points and white is worth 1 point. The Probability of drawing out a red one is 15%, a blue one is 30%, and a white one is 55%. What is the mathematical expectation on any one draw?

A.5.5 B. 1.3 C. 3.55 D. 4.5 E.2.5

回答 (2)

2007-03-17 4:32 pm
✔ 最佳答案
1.Find the digit in the ten-thousandth place of the series:
1+(1/1!)+(1/2!)+(1/3 !)+(1/4!)+.....
A.1 B.2 C.5. D.7 E.8
Answer: B
Since after 1/8!, the term is too little and cannot effect the answer
Onlt consider
1+(1/1!)+(1/2!)+(1/3 !)+(1/4!)+(1/5!)+(1/6!)+(1/7 !)+(1/8!)+....
=2.71827877
So the digit in the ten-thousandth place of the series is 2
2.A box contains ping pong balls. There are red ones, white ones, and blue ones. A red one is worth 10 points, blue is worth 5 points and white is worth 1 point. The Probability of drawing out a red one is 15%, a blue one is 30%, and a white one is 55%. What is the mathematical expectation on any one draw?
ANSWER: NO
the mathematical expectation on any one draw
=10*15%+5*30%+1*55%
=1.5+1.5+0.55
=4.55
So all answers are wrong
2007-03-25 12:54 am
同意樓上問題二的回答,mathematical expectation的確係用佢的計法,因為加埋的PROBABILITY=1,而且條問題係講draw 一次
除非呢題問題出錯la
參考: ch3 ppt


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