The following probability distribution table shows the number of cars the top Sales Agents at Car Plus sells in a day and their corresponding probability. Number of cars, x 0 1 2 3 4 Probability, P(X=x) 0.10 0.20 0.30 a 0.05 a) Calculate the value of a [1] b) On a typical day, how many cars should the top sales agent expect to sell? c) What is the variance of the distribution? [2] [3]

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