Mathematics: What is the missing reason in the proof?

A shopper that is at the 95th percentile of this distribution spends $116.125.Step-by-step explanation:Normal Probability Distribution:Problems of normal distributions can be solved using the z-score formula.In a set with mean and standard deviation , the z-score of a measure X is given by:The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability...

What is the missing reason in the proof?

Ответ:

hjkrueger29

30.11.2020

Mathematics

A shopper that is at the 95th percentile of this distribution spends $116.125.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $75 per trip and a standard deviation of $25 per trip.

This means that $\mu = 75, \sigma = 25$