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2ND TEST IN PROBABILITY THEORY AND STATISTICS Variant 8 1. X is a continuous random variable with the cumulative distri...
Examination in probability theory and statistics Variant 9 1. Discrete distribution for X is given by the following table: Probability p ValueX Find distribution function fa) and median Me(0). Calculate mathematical expectation (the mean) M(x), 0.3 -10 0.4 10 0.2 20 0.1 40 variance (dispersion) Da, standard error ơ(X), asymmetry coefficient As(X) and excess Ex(X). 2. Calculate multiplier k. Find mode Mots, median Me(o), mathematical expectation (the mean) Mc) variance (dispersion) D(x) and standard error σ(x) for continuous distributions having...
taiation in probability theory and statistics Variant 13 1. Discrete distribution for X is given by the following table: Probability p Value X 0.2 -10 0.3 10 0.4 30 0.1 50 Find distribution function fa) and median Me@. Calculate mathematical expectation (the mean) Mx), variance (dispersion) DA), standard error σ(X), asymmetry coefficient As(X) and excess Ex(X)
taiation in probability theory and statistics Variant 13 1. Discrete distribution for X is given by the following table: Probability p Value X 0.2 -10 0.3 10 0.4 30 0.1 50 Find distribution function fa) and median Me@. Calculate mathematical expectation (the mean) Mx), variance (dispersion) DA), standard error σ(X), asymmetry coefficient As(X) and excess Ex(X)
taiation in probability theory and statistics Variant 13 1. Discrete distribution for X is given by the following table: Probability p Value X 0.2 -10 0.3 10 0.4 30 0.1 50 Find distribution function fa) and median Me@. Calculate mathematical expectation (the mean) Mx), variance (dispersion) DA), standard error σ(X), asymmetry coefficient As(X) and excess Ex(X)
Need fast answer Examination in probability theory and statistics Variant 19 I. Discrete distribution for X is given by the following table: Probability p Value X Find distribution function f0) and median Me@0. Calculate mathematical expectation (the mean) M(), variance (dispersion) DA), standard error σ(X), asymmetry coefficient As(X) and excess Ex(X). 0.3 10 0.4 20 0.2 30 0.1 40
6. Let X be a continuous random variable whose probability density function is: 0, x <0, x20.5 Find the median un the mode. 7. Let X be a continuous random variable whose cumulative distribution function is: F(x) = 0.1x, ja 0S$s10, Find 1) the densitv function of random variable U-12-X. 0, ja x<0, I, ja x>10.
6th pls answer it fast robability Theory and Mathematical statistics Final examination Variant 4 Part 1. Random Events he probability that a computer crashes during a severe thunderstorm is 0.005. A certain npany had 550 working computers when the area was hit by a severe thunderstorm. Compute ne probability that exactly 2 computers crashed. 2. It is known about random events A and B that PCB) = 5P (AB). PCA) = 0.7and P(A + B) = 0.6. Find P(B). 3....
Question 3: Let X be a continuous random variable with cumulative distribution function FX (x) = P (X ≤ x). Let Y = FX (x). Find the probability density function and the cumulative distribution function of Y . Question 3: Let X be a continuous random variable with cumulative distribution function FX(x) = P(X-x). Let Y = FX (x). Find the probability density function and the cumulative distribution function of Y
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F() = 0, <a Inx, a < x <b 1, b<a (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
12. (15 points) Let X be a continuous random variable with cumulative distribution function 0, <a Inz, a<<b 1, bsa (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function S(x) for X. (d) Find E(X)