Question

You flip four coins. Let X, the random variable, be the number of heads on all four coins.

List the sample space for the experiment.

What are the possible values for x?

Is the random variable, x, continuous or discrete?

Construct a probability distribution for this experiment.

X

P(X)

Answer 1

When tossing a coin, we get either head or tail

Let H denotes head and T denotes the tail

So, Sample space when tossing 4 coins is $S=\text{}$ {HHHH, HHHT, HHTH, HHTT,

HTHH, HTHT, HTTH, HTTT,

THHH, THHT, THTH, THTT,

TTHH, TTHT, TTTH, TTTT }

Possible values of X = { 0, 1, 2, 3, 4 }

Random Variable X is Discrete

Probability Distribution: