The random vector (X, Y)' has a probability density: f(x,y) = 1/8(3xy2 + x); where x bellongs to interval <0;2> and y bellogns to interval <-1;1> = 0 ; otherwise Count the F(3/2; 0)
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The random
f(x,y) = 1/8(3xy2 + x); where x bellongs to interval <0;2> and y bellogns to interval <-1;1>
= 0 ; otherwise
- Count the F(3/2; 0)
Please be more specific in solution, so I can better understand the topic.
Thanks!
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- The joint probability function of two discrete random variables X and Y is given by f(x,y)=(1/42) (2x+y) where, x=0,1,2; y=0,1,2,3. Find P(x21, ys2). Use 4 decimal places.6) Allow a continuous probability distribution to be defined as f(x) = 4x³ for the range 0 sxs1. Demonstrate that the area underneath the curve is 1 (the function integrates to 1) and calculate the mean and variance of the probability distribution.The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by ´2e-(x+2) x 2 0, y 20 fx,y(x,y)=| else Then the probability that the first transistor burned during half hour given that the second one lasts at least half hour equals Select one: a. 0.3935 b. 0.606 c. 0.7772 d. 0.3669 e. 0.6318
- Q2) A continuous random variable has PDF Kx²+2x+1, -25x5 3. Find K, P(x)>0. X, X² and ¹.b) Let Z₁-N(0,1), and W₁ = Y~N(0,1), for i=1,2,3,...,10, then: dx dy i) State, with parameter(s), the probability distribution of the statistic, T = - 154 ii) Find the mean and variance of the statistic T = ₁² 10 iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. iv) Find the value of ß such that P(T> B) = 0.01, where T = ₁2₁² +².Let random variable X be uniform in the interval (0, 1). Define random variable Y = aX + b where a not 0.
- The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by | 2e-(x+2y) x 2 0, y 20 fx,y(x,y) = fx.MX.v) else Then the probability that the first transistor last for at least half hour given that the second one lasts at least half hour equals Select one: a. 0.3669 b. 0.3935 c. 0.7772 d. 0.6318 e. 0.606The time, in 100 hours, that a student uses her game console over a year is a random variable X with probability density function x if 0 < x < 1 f(x) = 2x if 1 < x < 2 0 otherwise. The power (in number of kilowatt hours) expended by the student's game console each year is 46X² + 24. For these problems, please ensure your answers are accurate to within 3 decimals. Part a) Find the mean amount of power expended by the student's game console per year. Part b) Find the variance of power expended by the student's game console per year. USuppose we have the quadratic function f(x)=A(x^2)+2X+C where the random variables A and C have densities fA(x)=(x/2) for 0≤x≤2, and fC(x)=3(x^2) for 0≤x≤1. Assume A and C are independent. Find the probability that f(x) has real roo