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 s² 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

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