The amount of rainfall in january in a certain city is normally distributed with a mean of 4.7 inches and a standard deviation of 0.5 .Find the value of the quartile Q1

Respuesta :

Answer:

4.4

Step-by-step explanation:

Quartile is 25%

From standard normal table, z-score is  -0.6745

[tex]Z=\frac {X-\mu}{\sigma}[/tex] where [tex]\mu[/tex] is mean [tex]\sigma[/tex] is standard deviation which is 0.5

[tex]-0.6745=\frac {X-4.7}{0.5}[/tex]

X=4.7-0.33725=4.36275

The first quartile is approximately 4.4