SOLUTION: At an urban hospital, the weights of all newborns are recorded. Over the last 10 years, the daily rate has been in excess of 50 births per day. The mean and stdev of weights for

Question 251200: At an urban hospital, the weights of all newborns are recorded. Over the last 10 years, the daily rate has been in excess of 50 births per day. The mean and stdev of weights for all recorded newborns is shown below. What is the probability that:
Pounds
m 7.125
stdev 0.125

a. A baby born today will weigh 8 pounds or more?
b. A baby born today will weigh between 6 and 8 pounds?
c. A baby born today will weigh exactly 10 pounds?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At an urban hospital, the weights of all newborns are recorded. Over the last 10 years, the daily rate has been in excess of 50 births per day. The mean and stdev of weights for all recorded newborns is shown below. What is the probability that:
Pounds
m 7.125
stdev 0.125
a. A baby born today will weigh 8 pounds or more?
z(8) = (9-7.125)/0.125 = 15
P(x>=8 lbs.) = P(z>=15) = 3.85*10^-51 or practically zero.
---------------------------------------------
b. A baby born today will weigh between 6 and 8 pounds?
z(6) = (6-7.125)/0.125 = -9
P(6 < x < 8) = P(-9 < z < 15) is practically 1
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c. A baby born today will weigh exactly 10 pounds?
P(x=10) = 0. In a continuous distribution the probability
that a data point will be exactly any number is zero.
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Cheers,
Stan H.

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