Respuesta :

valerieulbrich

Answer:

0.9332

Step-by-step explanation:

Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

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In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

  • It 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, which is the percentile of X, which also represents the area under the normal curve to the left of Z.

Looking at the standard normal table:

  • z = 1.5 has a p-value of 0.9332.

Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

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