Ten Percent of the Population Is Left-Handed $\mathrm { P } ( \mathrm { x } < 12 )$

question 99

Multiple Choice

Ten percent of the population is left-handed. A class of 100 students is selected. Convert the binomial probability $\mathrm { P } ( \mathrm { x } < 12 )$ to a normal probability by using the correction for continuity.

• A) \(\mathrm { P } ( \mathrm { x } < 11.5 )\)
• B) \(\mathrm { P } ( \mathrm { x } > 12.5 )\)
• C) \(P ( x \leq 12.5 )\)
• D) \(P ( x \geq 11.5 )\)

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Definitions:

Empirical Rules

A statistical rule stating that for a normal distribution, nearly all data will fall within three standard deviations of the mean.

Interquartile Range

A measure of variability, calculated as the difference between the third (75th percentile) and first quartile (25th percentile), that indicates the middle 50% of the data.

Midrange

The statistical measure calculated as the mean of the highest and lowest values in a data set, providing a simple estimation of the data’s central tendency.

Arithmetic Mean

The average of a set of numerical values, calculated by adding them together and then dividing by the number of values.