Control 5 in higher mathematics, version 16, SPbSTI

Task 1.

Find the probability of Bayes´ formula or the formula of total probability.

The shooter made as much shots as "eagles" dropped two coins, and got exactly 1 times. Chance to hit him is 0.7. What is the probability that there had been only one shot?

Task 2.

Find the probability of the Bernoulli equation, Poisson or Laplace.

What is the probability that the record seven-digit number is contained in exactly 3 units?

Task 3.

The expectation M (X), the variance of D (X), the probability of falling into the interval (6, 9], draw a graph of the distribution function F (X), if the law of distribution of a discrete random variable sets the table:

X -1 0 2 4 7

P 0.2 0.1 0.1 0.3 0.3

Task 4.

Assuming that X - normally distributed random variable, which is set to find the density function A, M (X), D (X),.