Respuesta :
Using the normal distribution, it is found that P(z < −2.1) = 0.0179.
Normal Probability Distribution
The z-score of a measure X in a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
- It measures how many standard deviations the measure X is from the mean, if it is positive above the mean, if it is negative below.
- After finding the z-score, the z-score table gives the p-value of this z-score, which is the percentile of the measure X.
From the z-table, we have that Z = -2.1 has a p-value of 0.0179, hence P(z < −2.1) = 0.0179.
More can be learned about the normal distribution at https://brainly.com/question/24663213