Suppose that the weights of 3200 registered female Great Danes in the United States are
distributed normally with a mean of 115 lb. and a standard deviation of 5.4 lb.
Approximately how many of the Great Danes weigh more than 125.8 lbs.? Round to the nearest
whole number.

Respuesta :

Answer:

794

Step-by-step explanation:

125.8•5.5+115

679.3+115

794

I hope this helps you

Approximately 73 Great Danes weigh more than 125.8 lbs.

Mean [tex]\mu[/tex]=115 lb.

Standard deviation [tex]\sigma[/tex] =5.4 lb.

What is a z-score?

Z-score depicts how much a given value differs from the standard deviation.

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

[tex]z=\frac{125.8-115}{5.4}[/tex]

[tex]z=2[/tex]

From the standard normal table P-value corresponding to z=2 i.e. P(x>125.8) = 0.02275

Total population =3200

3200*0.02275 = 72.8 ≈73

Thus, approximately 73 Great Danes weigh more than 125.8 lbs.

To get more about the z-score visit:

https://brainly.com/question/25638875