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(8) [20] QUESTION 3 Assume that 20.5% of all cars in South Africa are silver in colour. Let p be the sample proportion of silver

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(8) [20] QUESTION 3 Assume that 20.5% of all cars in South Africa are silver in colour. Let p be the sample proportion of silver cars in a random sample of 1000 cars. (a) Find the mean and standard deviation of p. (6) (b) What is the probability that the sample proportion p is more than 25%? (6) (c) What is the probability that the sample proportion p is within 1% of the true population pro- portion? (8) [20

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