Charles has collected data to find that the total snowfall per year in reamstown has a normal distribution. using the empirical rule, what is the probability that in a randomly selected year, the snowfall was less than 87 inches if the mean is 72 inches and the standard deviation is 15 inches? provide the final answer as a percent.

0.8413 or 84.13%

Step-by-step explanation:

Given : The mean is 72 inches and the standard deviation is 15 inches

To Find : What is the probability that in a randomly selected year, the snowfall was less than 87 inches

Solution:

Mean =

Standard deviation =

Formula :

We are supposed to find the probability that in a randomly selected year, the snowfall was less than 87 inches

So, x = 87

Substitute the values in the formula

Now to find P(z<87) refer the z table

P(Z<87)=0.8413 = 84.13%

So, the probability that in a randomly selected year, the snowfall was less than 87 inches if the mean is 72 inches and the standard deviation is 15 inches is 0.8413 or 84.13%

no i do not : ( what is it?

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )