The Student Room Group

please can someone help me

Callum plays a game in which he tosses two coins. If he gets two heads, he scores 4 points. If he gets a head and a tail, he scores 1 point. If he gets two tails, he scores 0 points.
i) Find the mean and variance of Callum's score in one game
ii) Callum plays the game 100 times. Write down the distribution of his mean score.
iii) Calculate the probability that Callum's mean score in 100 games is less than 1.4.
Draw a tree diagram and use the formulae for E(X) and Var(X), if you've been given that question then the formulae should be in your notes.

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