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The toll fee on a certain highway is R 25 per car and R 55 per truck. The mean and standard deviation (in thousands) of the number of cars are 20 and 4 respectively and for the number of trucks 5 and 1.3. The number of cars and trucks are correlated with covariance 3.5. Let XL and X, denote the numbers of cars and trucks using the highway daily. 1.1 Write down a formula for Y the total daily toll revenue and calculate its mean and standard deviation. (6) 1.2 Suppose X = (X;) follows a bivariate normal distribution. Calculate P(Y > 1000). (3)
The toll fee on a certain highway is R 25 per car and R 55 per truck. The mean and standard deviation (in thousands) of
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The toll fee on a certain highway is R 25 per car and R 55 per truck. The mean and standard deviation (in thousands) of
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