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The set of life spans of an appliance is normally distributed with a mean

months. What is the life span of an appliance that has a z-score of -3?

= 48 months and a standard deviation o = 8

3 months

24 months

45 months

72 months

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dogacandu

Answer:

24 months

Step-by-step explanation:

Lifespan with z-score of -3 in the the set of normally distributed life spans of an appliance can be calculated using the equation:

[tex]z=\frac{X-M}{s}[/tex] where

  • X  is the lifespan we are looking for
  • M is the mean life span of the appliance (48 months)
  • s is the standard deviation of the distribution of the life spans (8 months)

We have [tex]-3=\frac{X-48}{8}[/tex]  that is

-24=X-48 and

X=24 months.

The life span of an appliance that has a z-score of -3 is 24 months.

Answer:

24 months

Step-by-step explanation:

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