- •132. How many 5-place telephone numbers are there if the digit “0” is not used on the first place? 90000
- •159. It is known that 10% of all radio lamps are non-standard. Find the probability that there will be no more than 1 non-standard lamp among 4 randomly taken radio lamps. 0,6561
- •164. We say that a discrete random variable X is distributed under Poisson law with parameter if
- •167. Dispersion of a constant c is 0
- •191. The mathematical expectation of a continuous random variable X of which possible values belong to an interval [a, b] is
- •Integral ot a do b X φ(X)ds
- •193. A distribution of probabilities of a continuous random variable X is exponential if it is described by the density
- •194. A random variable X is normally distributed with parameters a and 2 if its density f(X) is:
191. The mathematical expectation of a continuous random variable X of which possible values belong to an interval [a, b] is
Integral ot a do b X φ(X)ds
192. A pack of 36 cards is carefully shuffled. Find the probability that a randomly extracted card will be an ace: 1/9
193. A distribution of probabilities of a continuous random variable X is exponential if it is described by the density
φ(x) = 1. λe^-λx x>0; 2. 0 x<0
194. A random variable X is normally distributed with parameters a and 2 if its density f(X) is:
2 =a 8 =2 sigma kvadrat
195. It is known that M (X) = – 2 and M (Y) = 4. Find M (2X – 3Y). -16
196. Let random variables X and Y with Y = 3X – 1 and D(X) = 2 be given. Find D(Y). 18
197. How many different 6-place numbers are possible to compose of digits 1, 2, 3, 4, 5, 6 if digits are not repeated? 720
198. How many ways are there to choose three employees on three different positions from 10 applicants? 720
199. 3 dice are tossed. Find the probability that 6 aces will appear on each of the dice: 1/216
200. 3 dice are tossed. Find the probability that the same number of aces will appear on each of the dice: 1/36