# In the store during the day it was sold 20 of the 25 mikrovol

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Problem 1. In the store during the day were sold 20 of the 25 microwave ovens three different manufacturers that existed at 5, 7 and 13 pieces.
What is the probability that remained unsold microwaves of the same brand, it is unlikely to be sold for each brand oven is the same?
Problem 2. According to the statistics, an average of every four households in the region have a computer.
Find the probability that eight randomly selected households have a computer:
a) two families;
b) at least two families.
Task 3: Share of top quality mass production of some 40%. Randomly selected 250 products.
Find the probability that:
a) 120 products are of the highest quality;
b) the product of the highest quality will be not less than 90 and not more than 120.
Task 4. Moving from the car overcomes two adjustable intersection. First the intersection without stopping, he overcomes with probability 0.4, and under this condition, the second crossroad passes without stopping, with probability 0.3. If at the first intersection vehicle makes a stop, the second it passes without stopping with 0.8 probability.
Create the distribution law of the random variable X - the number of crossings for the car without stopping. Find her expectation, dispersion and distribution function.
Task 5. The probability density of the random variable X has the form:

Search:
a) setting a;
b) the mean and variance of the random variable X;
c) the distribution function F (x).
Using Chebyshev's inequality to estimate the probability that a random variable takes values \u200b\u200bin the interval [1; 2]. Calculate the probability of using the distribution function. Explain the difference in results.