Answer:
15.9% of babies are born with birth weight under 6.3 pounds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6.8 pounds
Standard Deviation, σ = 0.5
We are given that the distribution of birth weights is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
P(birth weight under 6.3 pounds)
P(x < 6.3)
[tex]P( x < 6.3) = P( z < \displaystyle\frac{6.3 - 6.8}{0.5}) = P(z < -1)[/tex]
Calculation the value from standard normal z table, we have,
[tex]P(x < -1) = 0.159 = 15.9\%[/tex]
15.9% of babies are born with birth weight under 6.3 pounds.
