please explain and write formulas used a) the per capita electric power consumption level in a recent year in Ecuador is

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please explain and write formulas used
a) the per capita electric power consumption level in a recent
year in Ecuador is normally distributed, with a mean of 471.5
kilowatt- hours and a standard deviation of 187.9-kilowatt hours.
random samples of size 35 are drawn from this population, and the
mean of each sample is determined.
find the mean and standard deviation of the indicated sampling
distribution of the sample means.
b) find the indicated probabilities and interpret the
results.
the mean MCAT total score in a recent year is 500. A random sample
of 32 MCAT total scores is selected. Assume = 10.6.
what is the probability that the mean score for the sample is
a) less than 503
b) more than 502
c) between 498 and 501