SOLUTION: The weights for newborn babies is approximately normally distributed with a mean of 5.1 pounds and a standard deviation of 2 pounds.
Consider a group of 1300 newborn babies:
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Consider a group of 1300 newborn babies:
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Question 1150361: The weights for newborn babies is approximately normally distributed with a mean of 5.1 pounds and a standard deviation of 2 pounds.
Consider a group of 1300 newborn babies:
1. How many would you expect to weigh between 3 and 9 pounds?
2. How many would you expect to weigh less than 7 pounds?
3. How many would you expect to weigh more than 6 pounds?
4. How many would you expect to weigh between 5.1 and 10 pounds? Found 2 solutions by MathLover1, MOO04182020:Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website! a group of 1300 newborn babies
mu+=+5.1+
delta+=+2
1. How many would you expect to weigh between 3 and 9 pounds?
z%28x=3%29+=+%283-5.1%29%2F2=+-1.05
z%28x=7%29+=++%287-5.1%29%2F2=+0.95
P%28-1.05+%3C+z+%3C+0.95%29 ≈ 0.682085
0.682085%2A1300=887 babies
2. How many would you expect to weigh less than 7 pounds?
z%28x=7%29+=+0.95
P%28z+%3C+0.95%29 ≈0.828944
0.828944%2A1300+=+1078 babies
3. How many would you expect to weigh more than 6 pounds?
z%28x=6%29+=+0.45
P%28z+%3E+0.45%29 ≈ 0.326355
0.326355%2A1300=424 babies
4. How many would you expect to weigh between 5.1 and 10 pounds?
z%28x=5.1%29+=+0
z%28x=10%29+=+2.45
P%280+%3C+z+%3C+2.45%29 ≈0.492857
0.492857%2A1300+=+641+ babies