The average amount of corn yield is normally distributed with a mean of 186.7 bushels of corn per acre, with a standard deviation of 25.6 bushels of corn. In an agricultural study, 100 randomly selected acres were harvested. What is the probability that the mean corn yield of these 100 acres is more than 190 bushels of corn? Round your answer to 3 decimal places.

1) (y^2-2y+1)/(2y-3)

2y-3=0
Solving for y:
2y-3+3=0+3
2y=3
2y/2=3/2
y=3/2

2) y(y+5)/(4y+1)

4y+1=0
Solving for y:
4y+1-1=0-1
4y=-1
4y/4=-1/4
y=-1/4

3) (5y^2-6y+1)/[-5(y-1)]

-5(y-1)=0
Solving for y:
-5(y-1)/(-5)=0/(-5)
y-1=0
y-1+1=0+1
y=1

4) (y^2-y-6)/[-2(y+7)]

-2(y+7)=0
-2(y+7)/(-2)=0/(-2)
y+7=0
y+7-7=0-7
y=-7

Pairs

-7     →   (y^2-y+6)/[-2(y+7)]

3/2    →   (y^2-2y+1)/(2y-3)

1       →   (5y^2-6y+1)/[(-5(y-1)]

-1/4   →   y(y+5)/(4y+1)