If the range of a random variable X contains an interval of real numbers, then X is a
Solution :
If the range of a random variable X contains an interval of real numbers, then X is a infinite interval such as
[-infinity , +
infinity]
If the range of a random variable X contains an interval of real numbers, then X...
A discrete random variable is: A. outcomes over a continuous range of real numbers B. a numerical description of the outcome of an experiment C. one for which the number of possible outcomes can be counted D. one for which the number of possible outcomes can not be counted
A real number is to be selected at random from the interval [-5, 5]. There is a probability of 0.7 that the result will fall in the range [-5, -1], and all numbers from that interval have the same relative likelihood. Each number in the range (-1, 3) has twice the relative likelihood as each number in the range [3, 5]. a. Plot the PDF and CDF of the random variable described by this probability distribution. b. Find the probability...
7. For a discrete random variable, the set of possible values is a. an interval of real numbers. b. a set of numbers that is countable. c. a set of numbers that has a finite number of numbers. d. none of the above. 8. Let X be a continuous random variable, then P( X = 0) is a. 0.00001. b. zero. c. can be large in some random variable. d. none of the above. 9. For a discrete random variable,...
TOPIC: Random variables with bounded range Suppose a random variable X can take any value in the interval [−1,2] and a random variable Y can take any value in the interval [−2,3]. QUESTION 1: The random variable X−Y can take any value in an interval [a,b]. Find the values of a and b: a= b= QUESTION 2 (Yes or No): Can the expected value of X+Y be equal to 6?
Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the range is to be all numbers between 0 and 5. Call the random number generated Y. Then the density curve of the random variable Y has constant height between 0 and 5, and height 0 elsewhere. 1. Use Excel to generate 100 random values from the above distribution. Construct a histogram for generated values [ Note: use...
it is matlab coding
Generate a 2 x 3 matrix of uniformly distributed random , real numbers, each in the range (0, 1] real numbers, each in the range (4, 10) integer numbers, each in the inclusive range from 1 to 10 integer numbers, each in the inclusive range from 5 to 20
2. Let X be a continuous random variable. Let R be the set of all real numbers, let Z be the set of all integers, and let Q be the set of all rational numbers. Please calculate (1) P(X ? R), (2) P(X ? Z), and (3) P(X EQ)
Verify the linearity of expectation: if X is a discrete random
variable (with a finite range), and its expectation is defined as
where f is the probability mass function of X. prove that E =
[X+Y]=E[X]+E[Y],andE[cX]=cE[X] for any real number c.
E[x] => + f(x) T
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...
A random variable X has range {0,1,2}; its expectation is 2/3 and its variance is 5/9. Determine the probability generating function of X and sketch its graph on the interval [0, 1].