The annual profits that company A and company B earn follow a bivariate normal distribution.
Company A's annual profit has mean 2000 and standard deviation 1000.
Company B's annual profit has mean 3000 and standard deviation 500.
The correlation coefficient between these annual profits is 0.80.
Calculate the probability that company B's annual profit is less than 3900, given that company A's annual profit is 2300.
A) 0.8531
B) 0.9192
C) 0.9641
D) 0.9744
E) 0.9953