question_answer 1)

Find the probability distribution of (i) number of heads in two tosses of a coin. (ii) Number of tails in the simultaneous tosses of three coins. (iii) Number of heads in four tosses of a coin.  

Answer:

(i) Let X is the random variable of ?number of heads?.                                           [Coin is tossed one by one]       P (X = 1) = P             P(X = 2) = P(HH)        Probability distribution is             (ii) S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}       Let X is the random variable ?number of tails?                         Probability distribution is                             (iii) Let X is the random variable of ?number of heads?            X = 0, 1, 2, 3, 4       P(X = 0) = P       P(X = 1)             =       P(X = 2)                   or                     P (X = 3)       = P{HHH or HHH or HHHH or HHH}             P (X = 4) = (HHHH)             Probability distribution is