7. Let X be a random number selected from the interval (-1,3]. Find the density function...

Question

Question

7. Let X be a random number selected from the interval (-1,3]. Find the density function of Y = [X].

math Statistics-And-Probability

Answer 1

Answer #1

x n unif (1,3] P(xss)>20 ; x<-1 of F & f be the RDER Por ti kx<3 [ ; x>3 of Y then, F(Y)=P(YeY) = P(ixiey) = P(-y EXEY) 1PC-4

Answer 2

Similar Homework Help Questions

let x be a random variable which takes values in the interval (1,3). the density function...

let x be a random variable which takes values in the interval (1,3). the density function of x is proportional to 2^x. find the mean
7. Let X and Y be two random variables with the following joint prob- ability density function: otherwse a. Find th...

7. Let X and Y be two random variables with the following joint prob- ability density function: otherwse a. Find the constant c. b. Find the correlation between X and Y c. Find P(X 2 Y) d. Find the marginal pdfs of X and Y, respectively. e. Find P(Y0.5) e. Find E'YİX x] 2 7. Let X and Y be two random variables with the following joint prob- ability density function: otherwse a. Find the constant c. b. Find the...
Let X be a random variable with the probability density function f(x)= x^3/4 for an interval...

Let X be a random variable with the probability density function f(x)= x^3/4 for an interval 0<x<2 (a) What is the support of X? (b) Letting S be the support of X, pick two numbers a, b e S and compute Pa<x<b). Draw a graph that shows an area under the curve y = f() that is equal to this probability. (c) What is Fx (2)? Draw a good graph of y=Fx (I). (d) What is EX? (e) What is...

Let X be a random number from (0,1). Find the probability density functions of the random...

Let X be a random number from (0,1). Find the probability density functions of the random variables
4. (10 points) A number x is selected at random in the interval [-1, 2]. Let...

4. (10 points) A number x is selected at random in the interval [-1, 2]. Let the event A (xco), B-(x-0.51 < 0.5), and C x> 0.75). (a) (5 pts) Find the probabilities of A, B, C, AnB, and Bnc. (b) (5 pts) Find the probabilities of AUB, AuC, and AuBUC.
1. Let X be a continuous random variable with the probability density function fx(x) = 0...

1. Let X be a continuous random variable with the probability density function fx(x) = 0 35x57, zero elsewhere. Let Y be a Uniform (3, 7) random variable. Suppose that X and Y are independent. Find the probability distribution of W = X+Y.

Let X be a random variable with a density function given by 2 NI W x...

Let X be a random variable with a density function given by 2 NI W x – 1 < x < 1 f(x) = 6e elsewhere a) Find the density function of Y = 3 – X. b) Find the density function of Y = X2.
Let X be a continuous random variable defined on the interval [0, 4] with probability density...

Let X be a continuous random variable defined on the interval [0, 4] with probability density function p(x) = c(1 + 4x) (a) Find the value of c such that p(x) is a valid probability density function. (b) Find the probability that X is greater than 3. (c) If X is greater than 1, find the probability X is greater than 2. (d) What is the probability that X is less than some number a, assuming 0 < a <...
7. Let X be a continuous random variable whose probability density function is: 2x3 +ax2, if...

7. Let X be a continuous random variable whose probability density function is: 2x3 +ax2, if x (0; 1) if x (0;1) 0, Find 1) the coefficient a; 2) P(O.5ex<0.7):3) P(X>3). wness, Part 3. Statistics A sample of measurements is given 8. Compute the coefficient of correlation, make conclusions about dependence of variables. 9. Find the line of the linear regression of Y from X and draw it on the scatter plot.

the answer is y-7/12=-1/11(x-7/12) but I dont know why 5) Let X and Y have joint probability density function Graph the support of the joint random variable (X, Y). Find the Least squares regressi...

the answer is y-7/12=-1/11(x-7/12) but I dont know why 5) Let X and Y have joint probability density function Graph the support of the joint random variable (X, Y). Find the Least squares regression line and graph it with the support 5) Let X and Y have joint probability density function Graph the support of the joint random variable (X, Y). Find the Least squares regression line and graph it with the support