Three fair coins are tossed. Let X represent the number of tails.
i. Find the probability distribution of X. (3 marks)
ii. Find E(X). Show that this is equivalent to . (2 marks)
iii. Find Var(X). Show that this is equivalent to . (3 marks)
iv. Find . (2 marks)
i. Probability distribution of X
X = number of tails
If three coins are tossed then following events will occur:
S = [HHT, HTH, HHH, THH, HTT, TTH, THT, TTT]
Total no. of outcomes =23= 8
Following table shows the probability distribution of X:
ii. Find E(X)
iii. Find Var(X)
iv. Question is not given.
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