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.

[Torsten]

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.

Answer 1

[Star Strider]

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.

.

[S.M]

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

[Star Strider]

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]

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.