Question

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.

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The diameters of ball bearings are distributed normally. The mean diameter is 89 millimeters and the...
The diameters of ball bearings are distributed normally. The mean diameter is 89 millimeters and the standard deviation is 5 millimeters. Find the probability that the diameter of a selected bearing is between 91 and 97 millimeters. Round your answer to four decimal places.
5. The diameter of cookies are normally distributed with an average diameter of 3 inches and...
5. The diameter of cookies are normally distributed with an average diameter of 3 inches and a standard deviation of 0.5 inches. (a) Suppose a delicious sugar cookie is 4 inches in diameter. What is its z-score? (b) Calculate the probability that a cookie is less than 3.5 inches in diameter. (c) Would a 1.7 inch diameter be considered ”unusual”? Say Yes or No and provide a calculation to back your answer.
Suppose the diameter at breast height (in.) of trees of a certain type is normally distributed...
Suppose the diameter at breast height (in.) of trees of a certain type is normally distributed with mean 8.8 inch and standard deviation 2.8 inch, as suggested in the article “Simulating a Harvester-Forwarder Softwood Thinning” (ForestProducts J., May 1997: 36–41). f. What is the probability of exactly 2 out of 4 trees have diameter exceeding 10 in? g. What is the probability of at least 3 out of 4 have diameter exceeding 10 in? Note: the answer to a, b...
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.34 millimeters and a standard deviation of 0.03 millimeters. Find the two diameters that separate the top 8% and the bottom 8%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.58 millimeters and a standard deviation of 0.04 millimeters. Find the two diameters that separate the top 5%and the bottom 5%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary. Answer TablesKeypad If you would like to look up the value in a table, select the table you want to...
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.67 millimeters and a standard deviation of 0.03 millimeters. Find the two diameters that separate the top 9% and the bottom 9%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 3% and the bottom 3%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
The diameters of Red Delicious apples in a certain orchard are normally distributed with a mean...
The diameters of Red Delicious apples in a certain orchard are normally distributed with a mean of 2.63 inches and a standard deviation of 0.25 inches. a. What percentage of the apples in the orchard have diameters less than 1.95 inches? b. What percentage of the apples in the orchard have diameters larger than 2.90 inches? c. If a crate of 200 apples is selected from the orchard, approximately how many apples would you expect to have diameters greater than...
1)The diameters of bolts produced by a certain machine are normally distributed with a mean of...
1)The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability of selecting a bolt at random that has a diameter larger than 0.328 inches? 2) The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected...
The heights of pecan trees are normally distributed with a mean of 10 feet and a...
The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet. Show all work. 14. (a) What is the probability that a randomly selected pecan tree is between 9 and 12 feet tall? (Round the answer to 4 decimal places) (b) Find the 80th percentile of the pecan tree height distribution. (Round the answer to 2 decimal places) (a) For a sample of 36 pecan trees, state the standard deviation...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT