SOLUTION: The diameters of oranges in a certain orchard are normally distributed with a mean of 4.85 inches and a standard deviation of 0.40 inches. 1). What percentage of the oranges in

Question 295016: The diameters of oranges in a certain orchard are normally distributed with a mean of 4.85 inches and a standard deviation of 0.40 inches.
1). What percentage of the oranges in this orchard have diameters less than 6.3 inches?

2). What percentage of the oranges in this orchard are larger than 4.75 inches?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The diameters of oranges in a certain orchard are normally distributed with a mean of 4.85 inches and a standard deviation of 0.40 inches.
=====
1). What percentage of the oranges in this orchard have diameters less than 6.3 inches?
z(6.3) = (6.3-4.85)/0.4 = 3.625
P(x<6.3) = P(z< 3.625) = normalcdf(-100,3.625) = 0.9999..
2). What percentage of the oranges in this orchard are larger than 4.75 inches?
z(4.75) = (4.75-4.85)/0.4 = -0.25
P(x > 4.75) = P(z > -0.25) = normalcdf(-0.25,100) = 0.5987..
=============================================================
Cheers,
Stan H.
RELATED QUESTIONS
The diameters of oranges in a certain orchard are normally distributed with a mean of... (answered by stanbon)

Need Help!!!!The diameters of oranges in a certain orchard are normally distributed with... (answered by stanbon)

The diameters in oranges in a certain orchard are normally distributed with a mean of... (answered by stanbon)

4. The diameters of apples in a certain orchard are normally distributed with a mean of... (answered by edjones)

Please help me with this.!!! The diameters of grapefruits in a certain orchard are... (answered by stanbon)

The diameters of grapefruits in a certain orchard are normally distributed with a mean... (answered by stanbon)

Help, The diameters of grapefruits in a certain orchard are normally distributed with... (answered by stanbon)

The diameters of grapefruits in a certain orchard are normally distributed with a mean... (answered by stanbon)

I need HELP badly. The diameters of grapefruits in Jones Orchard are NORMALLY... (answered by ewatrrr)