Suppose you have an experiment where you flip a penny three times (or 3-pennies once).(Hint:It's a multiplication rule problem:each flip has 2 possibilities and we are flipping 3 times, so the number of outcomes is simply 2³ = 2 * 2 * 2= 8)It's like the dice where we had 6 possibilities on each die and toss two dice one (or toss one die twice = 6² = 6 * 6 = 36).So it's the "possibilities" to the number of tosses power.

a.)State the random variable and list what 3-letter permutations are possible (e.g., HHH,. . TTT)

b.)Write the probability distribution [ P(x) ] for the number of heads (fill in the Table below)?

c.)Draw a histogram for the number of heads (hint:4 columns)

a.)Find the mean number of heads (from Table below).

b.)Find the variance for the number of heads (from Table below).

c.)Find the standard deviation for the number of heads.

d.)Find the probability of having two or more heads.

e.)Is it unusual to flip just two heads?

x (heads) P(x) x*P(x) X-mean (x-mean)^2 (x-mean)^2 * P(x) 0 1 2 3 Sum ^ mean ^ variance