Question

Give definitions of the following terms:

          1.a.1 Random variable

          1. a.2 The conditional probability.

            1.a.3 Statistically independent events

            1.a.4 The mean of a discrete random variable X.

            1.a.5 The variance and the standard deviation of a discrete random variable X.

    b) (1 point) What are the properties of the probability mass function, f(x) of a discrete random variable?

     c) (2 points) How can the cumulative distribution function F(x) be calculated from f(x) for a discrete random variable X?

     d) (2 points each) We will soon study various types of probability distributions used to model discrete random processes. Use the book and/or the internet to define the discrete process(es) usually modeled by each of the following distributions.

           1.d.1 A uniform distribution

           1.d.2 A binomial distribution

           1.d.3 A geometric distribution

           1.d.4 A negative binomial distribution

           1.d.5 A hypergeometric distribution

           1.d.6   A Poisson distribution

Answer 1