Can anyone help me out what does sign(rand-0.5) command mean

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Mashrur Zawad
Mashrur Zawad 2022-3-19
评论： Atsushi Ueno 2022-3-19
1.Probability of X >0 if X= rand-0.5 2.Probability of X =1 if X= sign(rand-0.5) 3.Probability of X =-1 if X= sign(rand-0.5)

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Star Strider
Star Strider 2022-3-19
Ran in:
The ‘sign(rand-0.5)’ returns the sign (-1,0,1) of that result —
for k = 1:10
r = rand
X = sign(r-0.5)
end
r = 0.1812
X = -1
r = 0.5620
X = 1
r = 0.3196
X = -1
r = 0.6013
X = 1
r = 0.7162
X = 1
r = 0.7427
X = 1
r = 0.9730
X = 1
r = 0.6988
X = 1
r = 0.4561
X = -1
r = 0.5195
X = 1
.
  2 个评论
Mashrur Zawad
Mashrur Zawad 2022-3-19
Thanks got it.What about rand-0.5?What -0.5 signifies?Does it denote the maximum and minimum range of random numbers?
Torsten
Torsten 2022-3-19
编辑：Torsten 2022-3-19
You take a random number between 0 and 1 (that's what rand does).
Then you subtract 0.5 from this random number.
The result will be between -0.5 and 0.5 ( 0 - 0.5 and 1 - 0.5 are the extremes that can happen) with equal probability.
So the probability of getting a result > 0 (namely a result between 0 and 0.5) is equal to the probability of getting a result < 0 (namely between -0.5 and 0).
Can you now answer the question what the probability of getting a result > 0 is ?

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更多回答（1 个）

Atsushi Ueno
Atsushi Ueno 2022-3-19
Uniformly distributed random numbers - MATLAB rand (mathworks.com)
rand generates a uniformly distributed random number between 0 and 1.
So, rand-0.5 means random number between -0.5 and 0.5.
Sign function (signum function) - MATLAB sign (mathworks.com)
rand returns an array Y the same size as x, where each element of Y is:
  • 1 if the corresponding element of x is greater than 0.
  • 0 if the corresponding element of x equals 0.
  • -1 if the corresponding element of x is less than 0.
So, sign(rand-0.5) usually outputs -1 or 1 like a result of coin toss.
It is extremely rare for sign(rand-0.5) to output 0
  2 个评论
Mashrur Zawad
Mashrur Zawad 2022-3-19
1.Probability of X >0 if X= rand-0.5 2.Probability of X =1 if X= sign(rand-0.5) 3.Probability of X =-1 if X= sign(rand-0.5)
Can you tell me how to solve this?
Atsushi Ueno
Atsushi Ueno 2022-3-19
  1. 50%
  2. 50%
  3. 50%
Do you mean you want exact probability?
I mean you need probability of sign(rand-0.5)==0 or not.

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