A coin is tossed 5 times Let X be the random variable denoti

A coin is tossed 5 times. Let X be the random variable denoting the number of heads minus the number of tails.

a).What is the range of X?

b).What is the distribution over X?

c).What is the expected value of X?

Solution

a)

range will be the max of number of heads that is 5 and the min. number of heads that is 0

b)

distribution : binomial because we have n = 5 and p= 0.5

c)

expected value will be : 5 * 0.5 = 2.5