A farmer in a developing country has a plot of land. The random variable X is the farmer's crop of apples (in bushels), if the farmer grows apples on the entire plot. X is approximately normally distributed with mean 20 and standard deviation 1. The random variable Y is the farmer's crop of beans (in bushels), if the farmer grows beans on the entire plot. Y is approximately normally distributed with mean 22 and standard deviation 4. The farmer can divide the plot between apples and beans. For example, the farmer can grow apples on half of the plot, and beans on the other half. X and Y have a covariance of 1.2 (the correlation is 0.3). Apples and beans both sell for $1 a bushel. Use R to denote revenue. a. If the farmer grows apples on the entire plot, what is the probability that revenue falls below 19? (Suppose 19 is subsistence income.) b. If the farmer grows beans on the entire plot, what is the probability that revenue falls below 19? c. If the farmer grows apples on half of the plot, and beans on the other half, what is the probability that revenue falls below 19? d. Below