The monthly income of the employees of a large company is approximately normally distributed with a mean of $16,050 and a standard deviation of $2,500.Find the probability that a staff whose monthly income is
(i)less than $10,000?
(ii)between $14,000 and $17,500?
統計學概率問題
2009-05-13 9:57 am
回答 (1)
2009-05-13 7:09 pm
✔ 最佳答案
We calculate the z-score for both parts of the question(i) P(probability that a staff whose monthly income is less than $10,000)= P[z<(10,000-16,050)/2,500)
=P(z<-2.42)=0.00776
(ii)probability that a staff whose monthly income is between $14,000 and $17,500 = [(14,000-16,050)/2,500<z<(17,500-16,050)/2,500)
=(-0.82<z<0.58)=0.512935
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