Question 4.125

4.125 Difference between heads and tails.

Suppose a fair coin is tossed three times.

  1. Using the labels of “H” and “T,” list all the possible outcomes in the sample space.
  2. For each outcome in the sample space, define the random variable as the number of heads minus the number of tails observed. Use the fact that all outcomes of part (a) are equally likely to find the probability distribution of .
  3. Use the probability distribution found in (b) to find t mean and standard deviation of .

4.125

(a)

(b)

Value of 1 3
Probability

(a)