A population of 1000 students spends an average of P10.50 a day on dinner. The standard deviation of the expenditure is P3 . A simple random sample of 64 students is taken.

a)What are the expected value ,standard deviation, and shape of sampling distribution of the sample mean?

b)What is the probability that these 64 students will spend a combined total of more than P751.21?

c)What is the probability that these 64 students will spend a combined total between P703.59 and P728.45?