The mean number of heads in three tosses of a coin is

Q. Find the mean number of heads in three tosses of a fair coin.

Q. Following is the number of heads of 8 coins when tossed 205 times:

Number of Heads	0	1	2	3	4	5	6	7	8
Frequency	2	19	46	62	47	20	5	2	2

Calculate arithmetic mean (mean number of heads per toss), using Direct Method and Short-cut Method.

Q. A biased coin with probability p, 0 < p < 1, of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even is 2/5, then p equals
(a) 1/3
(b) 2/3
(c) 2/5
(d) 3/5

Q. Find the mean and variance of the number of heads in three tosses of a coin.

Q. 1) Find the probability distribution of
i) Number of heads in two tosses of a coin

2) Find the probability distribution of
ii) Number of tails in the simultaneous tosses of three coins.

3) Find the probability distribution of
ii) Number of heads in four tosses of a coin.