The mean head circumference of U

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The mean head circumference of U.S. newborns is 35.0 centimeters (cm) with a standard deviation of 1.3 cm. Assuming a normally distributed population of head circumferences:

A. What percent of newborns have a head circumference greater than 36.0 cm or less than 33.5 cm?

B. Microencephaly in newborns is a condition where an infant’s head is significantly smaller than normal. Some medical researchers consider a newborn to be microcephalic if its head circumference is in the bottom 3% of all newborn head circumferences. Given this definition, what would be the head circumference cutoff (in cm) for classifying a newborn as microcephalic?

C. If a random sample of 26 newborns is selected and their head circumferences are measured, what is the probability that the mean head circumference for this sample is less than 35.1 cm?