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Use technology or a z-score table to answer the question.

The expression P(z < 2.87) represents the area under the standard normal curve below a given value of z.

What is P(z < 2.87)?


A. 0.0021

B. 0.0027

C. 0.9973

D. 0.9979

Use technology or a zscore table to answer the question The expression Pz lt 287 represents the area under the standard normal curve below a given value of z Wh class=

Respuesta :

MathPhys

Answer:

D

Step-by-step explanation:

I usually use a z-score table, but you can do this with a calculator.

If we go to a z-score table, we first look up the first two digits (in this case, 2.8) in the far left column.  Then we find the hundredths digit in the top row (0.07).  Where they intersect is P(z < 2.87).

P(z < 2.87) = 0.9979

Answer D.

Using the normal distribution, it is found that the correct option regarding P(z < 2.87) is given by:

D. 0.9979

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

  • 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.

Hence, P(z < 2.87) is the p-value of Z = 2.87, which is of 0.9979, hence option D is correct.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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