Question

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.

13.Show all work. Just the answer, without supporting work, will receive no credit.

(a)What is the probability that a randomly selected pecan tree is between 9 and 12 feet tall?

(b)Find the 75th percentile of the pecan tree height distribution.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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. 13. Show all work. Just the answer, without supporting work, will receive no credit. (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 75th percentile of the pecan tree height distribution. (Round the answer to 2 decimal places) (c) For...
Assume that in an apple orchard the heights of the trees are normally distributed with a...
Assume that in an apple orchard the heights of the trees are normally distributed with a mean of 14 feet and a standard deviation of 3 feet. Show all work for the following problems. (a) What is the probability that a randomly selected tree is at least 7 feet tall? (b) What is the probability that a randomly selected tree is between 14 and 16 feet tall? Round answers to 4 decimal places.
Cherry trees in a certain orchard have heights that are normally distributed with mean μ =...
Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 109 inches and standard deviation σ = 11 inches. Use the Cumulative Normal Distribution Table to answer the following. (a) Find the 23 rd percentile of the tree heights. (b) Find the 81 st percentile of the tree heights. (c) Find the second quartile of the tree heights. (d) An agricultural scientist wants to study the tallest 2 % of the trees to determine...
Assume that gas mileage for cars is normally distributed with a mean of 23.5 miles per...
Assume that gas mileage for cars is normally distributed with a mean of 23.5 miles per gallon and a standard deviation of 10 miles per gallon. Show all work. Just the answer, without supporting work, will receive no credit. (a) What is the probability that a randomly selected car gets between 15 and 30 miles per gallon? (Round the answer to 4 decimal places) (b) Find the 75th percentile of the gas mileage distribution. (Round the answer to 2 decimal...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(Correct,) b. What is the median giraffe height?  ft. c. What is the Z-score for a giraffe that is 21 foot tall? d. What is the probability that a randomly...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(____,____) b. What is the median giraffe height?_____ ft. c. What is the Z-score for a giraffe that is 19.5 foot tall?______ d. What is the probability that a...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Fill the blank spaces below. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( ____,____ ) b. What is the median giraffe height? ______ ft. c. What is the Z-score for a giraffe that is 20 foot...
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 17 , 0.8 ) b. What is the median giraffe height? 17 ft. c. What is the Z-score for a giraffe that is 18 foot tall? 1.25 d....
11. Suppose the heights of a population of people are normally distributed with a mean of...
11. Suppose the heights of a population of people are normally distributed with a mean of 70.5 inches and a standard deviation of 2.7 inches. a. Find the probability that a randomly selected person from this population is between 67.2 and 71.2 inches tall. (7 points) b. What height denotes the 95th percentile? (5 points)