The random variable ξ is in accord with the normal distribution with the mathematical expectation mξ = 0. The interval (α, β), not including the coordinate origin is given. At what value of the standard deviation σ the probability of hit of a random quantity ξ into an interval (α, β) will reach a maximum.
The random variable ξ is in accord with the normal distribution with the mathematical expectation mξ and variance σ2ξ. It is required to exchange the normal distribution by the uniform distribution in an interval (α, β) approximately. The cell boundary α and β should be selected so that to remain a constant the mathematical expectation and variance of random variable ξ.
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