ç«è³ç¨
ç«è³ç¨
ç«è³ç¨
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Example 5.9<br />
We load on a plane 100 packages whose weights are independent<br />
random variables that are uniformly distributed between 5 and 50<br />
pounds. What is the probability that the total weight will exceed<br />
3000 pounds<br />
說 明<br />
µ = 27.5, σ 2 (50 − 5)2<br />
= = 168.75.<br />
12<br />
( )<br />
S100 − 100 ∗ 27.5 3000 − 100 ∗ 27.5<br />
P(S 100 ≥ 3000) = P √ ≥ √<br />
100 ∗ 168.75 100 ∗ 168.75<br />
= P(Z n ≥ 1.92)<br />
≈ P(Y ≥ 1.92)<br />
= 1 − P(Y ≤ 1.92)<br />
= 0.0274.<br />
Chia-Ping Chen ( 中 山 資 工 ) Limit Theorems 機 率 學 講 義 25 / 28
Change language