The random variable ξ obeys the binomial distribution To find an mathematical expectation and variance of a random variable η = exp(aξ). The J-scope of a navigation system, which works on a...

The random variable ξ obeys the binomial distribution

To find an mathematical expectation and variance of a random variable η = exp(aξ).

The J-scope of a navigation system, which works on a geophysical vessel, is a circle of radius a. Owing to noises the stain with center in any point of this circle can appear. To find the mathematical expectation and variance of a distance of the center of a stain from center of a circle.