The birth weight of newborn babies is normally distributed with a mean of 7.5 lbs and a standard deviation of 1.2 lbs. a. Find the probability that a randomly selected newborn baby weighs between 5.8 and 8.6 pounds. Round your answer to 4 decimal places. b. How much would a newborn baby have to weigh to be in the top 4% for birth weight? Round your answer to 1 decimal place.
Added by Kathleen B.
Step 1
8 lbs and 8.6 lbs. Given: Mean (μ) = 7.5 lbs Standard Deviation (σ) = 1.2 lbs Calculate the z-score for 5.8 lbs: \[ z_1 = \frac{5.8 - 7.5}{1.2} = -1.42 \] Calculate the z-score for 8.6 lbs: \[ z_2 = \frac{8.6 - 7.5}{1.2} = 0.92 \] Show more…
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