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The average mass of newborn infants born at a given hospital is 3.5 kg with standard...

The average mass of newborn infants born at a given hospital is 3.5 kg with standard deviation of 575 g. Assume these birth weights follow a normal distribution.

(a) What is the probability that a newborn selected randomly from this population has a mass of at least 4.64 kg?

(b) What is the probability that a newborn selected randomly from this population has a mass between 3.3 kg and 3.6 kg?

(c) If 100 infants are born in one day at the given hospital, what is the probability that at least two infants will be born with a mass of at least 4.64 kg?

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