3.Hyponatremia (low sodium levels) occurs in a certain proportion of marathon runners during a race.Suppose that historically the proportion of runners who develop Hyponatremia is 0.12.In a certain marathon, there are 200 runners participating.

Use the Binomial Distribution to find the following:

a.Calculate the probability that exactly 25 runners suffer from Hyponatremia during the race.

b.Calculate the probability that at most (40 runners suffer from Hyponatremia during the race

c.Using the formula, find the mean of the expected number of the runners who suffer from Hyponatremia during the race.

d.Using the formula, find the variance and the standard deviation of the runners who suffer from Hyponatremia during the race.