The respiratory rate in newborns varies according to a distribution that is approximately normal with a mean of 50 beats per minute and a standard deviation of 5.
a.What proportion of newborns have a respiratory rate within 1.2 standard deviations of the mean?
b.What is the probability that a newborn selected at random will have a respiratory rate higher than 55 beats per minute?
c.Thirty percent of all newborns have a respiratory rate lower than what value?
d.Of all samples of 5 newborns chosen, what proportion will have an average respiratory rate below 52 breaths per minute?
e.Of all samples of 10 newborns chosen, what proportion will have an average respiratory rate above 52 breaths per minute?
f.Of all samples of 10 newborns chosen, what proportion will have an average respiratory rate between 50 and 52 breaths per minute?