How can i simulation this Question

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S.M
S.M 2022-12-7
编辑： Torsten 2022-12-8
How can i simulation this Question:
A physical quantity is measured 50 times, and the average of these measurements is taken as the result. If each measurement has a random error uniformly distributed over (−1, 1), what is the probability that our result differs from the actual value by less than 0.25
I generate 50 random varible with this code :
eror=-1+1*randn(1,50);
but i dont know how can arrive to Purpose the question.
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Torsten
Torsten 2022-12-8
编辑：Torsten 2022-12-8
Read about
https://en.wikipedia.org/wiki/Bates_distribution
and calculate
P(0.375 <= X <= 0.625)
for X having the Bates distribution with n = 50.

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回答（1 个）

Star Strider
Star Strider 2022-12-7
The randn function will produce Gaussian distributed random numbers with a standard deviation of 1.
Your assignment says: ‘uniformly distributed over (−1, 1)’. Look through the documentation and choose a random number generator that produces uniformly distributed random numbers. It may be necessary to write code that creates a (-1,1) result.
.
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Star Strider
Star Strider 2022-12-7
Unless you were told something different than the assignemtn text, randn will not produce that result.
‘... but i dont know how can i arrive to probability that our result differs from the actual value by less than 0.25’
That is the point of the asssignment, so I leave that to you.
Image Analyst
Image Analyst 2022-12-7
Are there any other functions in the documentation that begin with "rand"? I see several. Which do you think you need to use?
This looks like a homework problem. If you have any questions ask your instructor or read the link below to get started:
How do I get help on homework questions on MATLAB Answers? - MATLAB Answers - MATLAB Central
Obviously we can't give you the full solution because you're not allowed to turn in our code as your own.

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