A2.25.a
Use technology to determine if a given set of data is normal by applying the empirical rule.
Example Problems
The lifespans of foxes in a particular zoo are normally distributed. The average fox lives 11.2 years; the standard deviation is 2.8 years.
Use the empirical rule () to estimate the probability of a fox living less than 19.6 years.
Use the empirical rule () to estimate the probability of a fox living less than 19.6 years.
The delivery time (in days) for a regional courier is normally distributed with a mean of and a standard deviation of . Let = the delivery time for a randomly selected package.
Find .
Round your answer to two decimal places.
Find .
Round your answer to two decimal places.
Scores on a standardized math test are normally distributed with a mean of 500 and a standard deviation of 100. Let X represent the score of a randomly selected student.
Find .
Round your answer to two decimal places.
Find .
Round your answer to two decimal places.
Khan Academy ResourcesBasic normal calculationsEmpirical ruleCalculating z-scoresNormal distribution: Area between two pointsNormal distribution: Area above or below a pointNormal calculations in reverseCalculate percentilesQualitative sense of normal distributionsNormal distribution problems: Empirical ruleCalculating percentileComparing with z-scoresFinding z-score for a percentileStandard normal table for proportion aboveStandard normal table for proportion between valuesStandard normal table for proportion belowZ-score introductionThreshold for low percentile

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