You have been asked to determine the probability that the contribution margin for a particular product line exceeds the fixed cost of $1560. The total number of units sold is a normally distributed random variable with a mean of 300 and a variance of 400 X ~ N(300, 400). The selling price per unit is $11. The total number of units produced is a normally distributed random variable with a mean of 300 and a variance of 900 Y ~ N(300, 900). The variable production cost is $6 per unit. Production and sales have a positive correlation of 0.50.
What is the probability that the contribution margin for the product line exceeds the fixed cost of $1560?