4.5 and EX21-18? Why or Is it possible to have a random variable X such that...
Discrete random variable X has possible values 2, 6, 10, 14, 18, and 22. Continuous random variable Y has density function f(y) = y/288, if 0 < y < 24 and f(y) = 0 otherwise. If Y is a good approximation for X, find Pr[6 ≤ X ≤ 18].1/41/35/72/31
When you have a discrete random variable, each possible value in this variable can be assigned a positive probability. Why can't discrete random variables be assigned a positive probability to a possible value of this?
Suppose we have a discrete random variable X with distribution x p(x) 0 0.2 1 a 3 0.1 5 0.2 6 b (a) If mean = 4.5, find a and b.
2. For a discrete random variable X, with CDF F(X), it is possible to show that P(a < X S b)-F(b) - F(a), for a 3 b. This is a useful fact for finding the probabil- ity that a random variable falls within a certain range. In particular, let X be a random variable with pmf p( 2 tor c-1,2 a. Find the CDF of X b. Find P(X X 5). c. Find P(X> 4). 3. Let X be a...
I think it is x/18 Suppose that X is a continuous random variable with probability distribution fX(x) = x 18, Osxs6 (a) Find the probability distribution of the random variable Y = 19X+11. fY(y) = ? Edit
3. Let X be a random variable with possible outcomes 11,..., In, and Y a random variable with possible outcomes 1.... ym. Let Z be a random variable that corresponds to testing X followed by Y, so the possible outcomes are pairs (x,y) with P(x, y) = P(x) P(y) Use the definition of entropy to prove that H(Z) = H(X) + H(Y). This is a special case of property 3 from Shannon's theorem. Definition. The Key Equivocation of a cryptosystem...
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of points scored during a basketball game. (b) The amount of rain in City B during April. (a) Is the number of points scored during a basketball game discrete or continuous? A. The random variable is discrete. The possible values are x≥0. B. The random variable is continuous. The possible values are x =0, 1, 2..... C. The random variable is discrete. The...
18. suppose that the random variable X has a continuous uniform distribution over [ 10, 20 ]. Find P (15 is less than or equal to X is less than or equal to 19 ) Possible answers : A 0.30, B 0.35, C 0.40, D 0.45
The discrete random variable has a uniform distribution. There are 12 possible values for the random variable. One of the possible values is X = 5. P(X = 5) = _________________
The discrete random variable has a uniform distribution. There are 12 possible values for the random variable. One of the possible values is X = 5. P(X = 5) =