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Birth weights in the United States have a distribution that is approximately normal with a mean...

Birth weights in the United States have a distribution that is approximately normal with a mean of 3396 g and a standard deviation of 576 g. Apply Table A-2 or statistics technology you can use to answer the following questions:

(a) One definition of a premature baby is the the birth weight is below 2500 g. If a baby is randomly selected, find the probability of a birth weight below 2500 g.

(b) Another definition of a premature baby is that the birth weight is in the bottom 10%. Find the birth weight that is the cutoff between the bottom 10% and the top 90%.

(c) A definition of a "very low birth weight" is one that is less than 1500 g. If a baby is randomly selected, find the probability of a "very low birth weight".

(d) If 25 babies are randomly selected, find the probability that the mean of their mean weight is greater than 3400 g.

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