The weights of newborn elephants are normally distributed with a mean of 225 pounds and a standard deviation of 45 pounds.

a)Find the probability that a newborn elephant weighs between 250 and 275 pounds. You must show your work using a calculator function to receive credit.

b)Find the probability that a newborn elephant weighs more than 210 pounds. You must show your work using a calculator function to receive credit.

c)A zoo carefully monitors any newborn elephants born at their park. If a newborn elephant's weight falls in the bottom 5%, then the zoo takes special measures to ensure the health of the "little" guy or gal. Find the birth weight below which the zoo takes these precautions. Round your answer to the nearest pound. You must show your work using a calculator function to receive credit.