The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,479. Let X = number of ants in a randomly selected acre of the forest. Round all answers to...

The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,479. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N

b. Find the probability that a randomly selected acre in the forest has fewer than 34,078 ants.

c. Find the probability that a randomly selected acre has between 35,392 and 42,240 ants.

d. Find the first quartile.