The distribution law of the random variable X is given by

Problems.

1. 
   The distribution law of random variable X is given by:
   

Estimate the probability that the absolute value of the deviation of a random variable from the mathematical expectation is less than 15.

2. 
   If D(X)=0.001, estimate the probability that |X–M(X)|<0.1.
   
3. 
   Given P{|X–M(X)|≤}>0.9 and D(X)=0.004. Find the value of .
   
4. 
   Given 1200 unrelated random variables, each of which has a variance of no more than 3. Deviation of the arithmetic mean of these random variables from the arithmetic mean of mathematical expectations, find the probability that the absolute value is not greater than 0.2.
   
5. 
   Each of the 1600 unrelated random numbers has a variance of no more than 9. The deviation of the arithmetic mean of random variables from the arithmetic mean of mathematical expectations is 0.6 in absolute value, find the probability that is not greater than
   
6. 
   The sequence of arbitrary random variables X₁, X₂, ... , X_p,... is given by these distribution laws:
   

1. 
   b.
   

Is it possible to apply Chebyshev's theorem to these sequences?