A citrus farmer who grows mandarin oranges finds that the diameters of mandarin oranges harvested on his farm follow a normal distribution with a mean diameter of 5.85 cm and a standard deviation of 0.24 cm.

Use the appropriate onlinecalculator (or Excel)to find the answers:

http://onlinestatbook.com/2/calculators/normal_dist.htmlorhttp://onlinestatbook.com/2/calculators/inverse_normal_dist.html.

a.Find the probability that a randomly selected mandarin orange from this farm has a diameter larger than 6.0 cm.(Answer to 2 decimal places.)

b.The middle 20% of mandarin oranges from this farm have diameters betweenand. (Answer to 2 decimal places.)

c.Find the 90th percentile for the diameters of mandarin oranges. (to 2 decimal places).

d.The middle 40% of mandarin oranges from this farm are betweenand.(Answer to 2 decimal places.)

e.Find the 16th percentile. To 2 decimal places.