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In: Statistics and Probability

Diameters of mature Jeffrey Pine Trees are normally distributed with a mean diameter of 22 inches...

Diameters of mature Jeffrey Pine Trees are normally distributed with a mean diameter of 22 inches and a standard deviation of 6 inches. (Round your answers to four decimal places)

a. Find the probability that a randomly selected Jeffrey Pine tree has a diameter greater than 30 inches.

b. Find the probability that a randomly selected Jeffrey Pine tree has a diameter no more than 15 inches.

c. Find the tree diameter that defines the 60th percentile.

d. If 20 Jeffrey Pine trees are randomly selected find the probability that their mean diameter is at least 24 inches

e. If 55 Jeffrey Pine trees are randomly selected find the probability that their mean diameter is at between 22 and 24 inches.

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