In a certain barangay, LGU distributes "ayuda" benefits to each family with a mean of 3,200 pesos per month with a standard deviation of 850 pesos. If a random sample of 32 families are taken, what...

In a certain barangay, LGU distributes "ayuda" benefits to each family with a mean of 3,200 pesos per month with a standard deviation of 850 pesos. If a random sample of 32 families are taken, what will be the probability that the average ayuda benefits distributed is between 3,000 and 3,500 pesos?

A. 9.18%

B. 88.55%

C. 90.82%

D. 2.28%