Suppose we toss a coin n times, and the probability of obtaining heads each time is p.
Question:
Suppose we toss a coin n times, and the probability of obtaining heads each time is p. Let q = 1 - p. If successive coin tosses are independent events, then the mass function describing the random variable X = number of heads is the well-known binomial random variable defined by
The z-transform for the random variable X is given by
We can now use the z-transform to determine the mean and variance of the binomial random variable. Note that
For z =1, we find
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Operations Research Applications And Algorithms
ISBN: 9780534380588
4th Edition
Authors: Wayne L. Winston
Question Posted: