Discrete uniform distribution (from http://www.math.wm.edu/˜leemis/chart/UDR/UDR.html) The shorthand X ∼ discrete uniform(a,b)is used to indicate that the random variable X has the discrete uniform distribution with integer parameters a and b, where a <b. A discrete uniform random variable X with parameters a and b has probability mass ...

1. For a discrete random variable Y the probability distribution is py()= 5−y 10 for y =1, 2, 3, 4. Calculate: (a) EY()(b) VY(). 2. For a fair 10-sided spinner, if S is 'the score on the spinner', find: (a) the probability distribution of S; (b) ES(); (c) the standard deviation of S. 3. A random variable has probability distribution x 01 2 3

random variable is said to be discrete if its set of possible values is a discrete set. possible value means a value x0 so that P(X = x0) , 0. We will often write p(x) instead of PX(x). Note.

Simplest discrete distribution. The random variable X assumes only a finite number of values, each with equal probability. A random variable X has a discrete uniform distribution if each of the n values in its range, say x 1, x 2, ..., xn, has equal probability.

B(r;n;p) is the cumulative distribution function for b(x;n;p). How to use Minitab to nd b(x;n;p) and B(r;n;p) Example: Find b(x;8;0:1) and B(r;8;0:1) for x = 0;1;:::;8 and r = 0;1;:::;8. Put the numbers 0;1;;:::;8 in C1 Use the option Calc Probability Distribution Binomial. You can choose from the following: a. Probability (this is b(x;n;p)) b.

An example of a histogram of the discrete uniform distribution is shown in Figure 4.1. Figure 4.1. The discrete uniform distribution PDF (left) and CDF (right) for a random variable,

5.2: Discrete Uniform Distribution: If the discrete random variable X assumes the values x 1 , x 2 , …, x k with equal probabilities, then X has the discrete uniform

As the name suggests, a discrete uniform distribution can take a countable number of values and the probability of each value is the same. For example, the probability distribution of a dice roll is a discrete uniform distribution.

Uniform distributions come in two kinds, discrete and continuous. They share the property that all possible values are equally likely. 2.1 Discrete uniform distribution. Uniform(n). Discrete. In general, a discrete uniform random variable X can take any finite set as values, but

If X is a discrete random variable that could assume any of the values x1, x2, . . . , xk with equal probabilities, then X has the discrete uniform distribution, denoted by X ~ Uni(k), with the probability mass function.