Answer: 144
Explanation:
Number of boxes times 12 will give u number of peaches.
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Using the normal distribution, there is a 0.1587 = 15.87% probability that’s a car picked at random is traveling at more than 100 km/hr.
<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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
- 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.
The mean and the standard deviation are given, respectively, by:
![\mu = 90, \sigma = 10](https://tex.z-dn.net/?f=%5Cmu%20%3D%2090%2C%20%5Csigma%20%3D%2010)
The probability that’s a car picked at random is traveling at more than 100 km/hr is <u>one subtracted by the p-value of Z when X = 100</u>, hence:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{100 - 90}{10}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B100%20-%2090%7D%7B10%7D)
Z = 1
Z = 1 has a p-value of 0.8413.
1 - 0.8413 = 0.1587.
0.1587 = 15.87% probability that’s a car picked at random is traveling at more than 100 km/hr.
More can be learned about the normal distribution at brainly.com/question/28096232
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