Question

The magnitude of earthquakes since 1900 that measures 0.1 or higher on the Richter scalein California is approximately normally distributed, with a mean 6.2 and a standarddeviation 0.5, according to data obtained from the U.S. Geological Survey.If 4 earthquakes are randomly selected since 1900, find the probability that their mean

Answer 1

Step-by-step explanation:

a.

Parameters:

Mean, m = 6.2

Standard Deviation, d = 0.5

Number of sample, n = 4

b.

Z score:

`\begin{gathered} Z=(n-m)/(d) \\ \\ =(4-6.2)/(0.5)=-(2.2)/(0.5)=-4.4 \\ \end{gathered}`

c.

The probability of x<4 = 0.00001