math-normal distribution

2012-01-12 10:48 pm
A set of concrete cubes with the random strengh variable X~N(39,42),find the probability of strength X between 30mPa and 42mPa.

回答 (1)

2012-01-13 5:40 am
✔ 最佳答案
Answer: 0.595824

Pr (30 <= X <= 42)

= Pr( (30 - 39)/√42 < Z < (42 - 39)/√42 )

= Pr( -1.3887 < Z < 0.46291 )

= 0.595824

So, the probability of strength X between 30mPa and 42mPa is 0.595824


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