Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11

[answerhappygod]

Women have pulse rates that are normally distributed with a mean
of 77.5 beats per minute and a standard deviation of 11.6 beats per
minute. a.) What is the probability that a woman has a pulse rate
higher than 87.2 beats per minute?
b.) What pulse rate would separate the lowest 58% of women from
the top 42%? c.) What is the probability that a group of 11 women
has a mean pulse rate higher than 83.2 beats per minute? d.) Even
though the sample size is less than thirty in part (c) of this
question, why can the Central Limit Theorem still be applied? e.)
If you were a doctor who is selecting pulse rates as cutoff values
for determining whether further tests are needed for patients,
which result is more relevant to use, part (a) or part (c)?
Why?