Using the normal distribution, the diameter that represents the 49th percentile is of 1.52 units.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
Using a calculator, the mean and the standard deviation for the diameters are given as follows:
The 49th percentile is <u>X when Z = -0.025</u>, hence:
X - 1.524 = -0.025 x 0.1226
X = 1.52.
More can be learned about the normal distribution at brainly.com/question/15181104
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