The 24.8 lbs weight would be the 33rd percentile if weights of 2-year-old girls are normally distributed, with a mean of 25.3 lbs.
It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
Mean = 25.3 lbs
Standard deviation = 1.12 lbs
From the formula;
x = μ + zσ.
The z-table value that corresponds to the 33rd percentile:
At 0.33 the area under the curve Z = -0.44
x = 25.3 + (-0.44)1.12
x = 24.8 lbs.
Thus, the 24.8 lbs weight would be the 33rd percentile if weights of 2-year-old girls are normally distributed, with a mean of 25.3 lbs.
Learn more about the normal distribution here:
brainly.com/question/12421652
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