contestada

suppose the nightly rate for a three star hotel in paris is thought to be bell-shaped and symmetrical with a mean of 160 euros and a standard deviation of 8 euros. The percentage of hotels with rates between 144 and 176 eruos is_________

Respuesta :

pedrocarratore

Answer:

95.44%

Step-by-step explanation:

Mean rate (μ) = 160 euros

Standard deviation (σ) = 8 euros

For any given rate, X, the z-score is:

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

For X = 144 euros:

[tex]z=\frac{144-160}{8}\\ z=-2[/tex]

For X= 176 euros

[tex]z=\frac{176-160}{8}\\ z=2[/tex]

In a standard distribution, a z-score of -2 corresponds to the 2.28th percentile, while a z-score of 2 corresponds to the 97.72th percentile.

Therefore, the percentage of hotels with rates between 144 and 176 euros is:

[tex]P=97.72-2.28\\P=95.44\%[/tex]

Otras preguntas