How can i simulation this Question

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.

1 个评论

Read about
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)

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.
.

3 个评论

I can use gussian distributed random variable ; but i dont know how can i arrive to probability that our result differs from the actual value by less than 0.25
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.
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:
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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提问:

S.M
2022-12-7

编辑:

2022-12-8

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