Assume the annual day care cost per child is normally distributed with a mean of ​$9000 and a standard deviation of ​$1000. What percent of day care costs are more than ​$8600 ​annually?

Respuesta :

Answer:

65.54% (nearest hundredth)

Step-by-step explanation:

Given:

  • [tex]\sf \mu=9000[/tex]
  • [tex]\sf \sigma=1000[/tex]

[tex]\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)[/tex]

P(X > 8600) = 1 - P(X ≤ 8600)

                    = 1 - 0.3445782584

                    = 0.6554217416

                    = 65.54%

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