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The continuous random variable N has a normal distribution with mean 7.5 and standard deviation 2.5. For which of the following is the probability equal to 0 ?
P(N=8)

P(N>8)

P(N<8)

P(7 8)

Respuesta :

Using the normal distribution, it is found that P(X = 8) is equals to zero.

Normal Probability Distribution

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.
  • As in any continuous distribution, the probability of an exact value, that is, P(X = x), is of 0.

Hence, from the last bullet point, it is found that P(X = 8) is equals to zero.

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

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