Question

In: Statistics and Probability

The annual increase in height of cedar trees is believed to be distributed uniformly between seven...

The annual increase in height of cedar trees is believed to be distributed uniformly between seven and ten inches. Find the probability that a randomly selected cedar tree will grow more than 9 inches in a given year. Round your answer to four decimal places, if necessary.

Solutions

Expert Solution

X ~ U (7 , 10)

P(X > 9) = (10 - 9) / (10 - 7) = 0.3333

                                                                                                                                                                                             

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The height of maple trees are distributed normally with a mean of 31 meters and a...
The height of maple trees are distributed normally with a mean of 31 meters and a standard deviation of 4 meters. a) What is the probability of a tree being taller than 33 meters? Represent this graphically as well as numerically. b) A group of 20 trees is selected at random. What is the probability that the average height of these 20 trees is more than 33 meters? Represent this graphically as well as numerically. c) A group of 20...
The amount of time runners take to run a marathon is believed to be uniformly distributed...
The amount of time runners take to run a marathon is believed to be uniformly distributed after running for four hours. The following is the observed number of runners and the length of time it takes to cross the finish line. Carry out the Chi Square Goodness of fit test. Hypothesis: Calculation: Find each expected count and find each chi square value, total value and pvalue. 4-4.5 hours 4.5-5 hours 5-5.5 hours 5.5-6 hours 6-6.5 hours 6.5 + hours Total...
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...
one way to measure whether the trees in the Wade tract are uniformly distributed issue examine...
one way to measure whether the trees in the Wade tract are uniformly distributed issue examine the average location in the north south or the Southwest direction. the values range from 0 to 200 so if the trees are uniformly distributed the average location should be 100 and any differences in the actual sample would be due to random chance. the actual sample mean in the north-south direction for the 584 trees in the tract is 99.74. a theoretical calculation...
The annual returns from a particular mutual fund are believed to be normally distributed. The following...
The annual returns from a particular mutual fund are believed to be normally distributed. The following table lists the annual returns for this fund over a 20-year period. Year Return (%) Year Return (%) 1 6.2 11 5.4 2 11.3 12 26.0 3 16.1 13 13.5 4 16.9 14 24.2 5 9.8 15 –1.5 6 18.3 16 1.4 7 11.2 17 15.7 8 –12.1 18 11.8 9 19.2 19 1.9 10 17.6 20 17.8 a) Determine the mean and standard...
8. A swimming pool is filled at a rate that is uniformly distributed between 20 and...
8. A swimming pool is filled at a rate that is uniformly distributed between 20 and 26.3 gallons per minute. a. Draw a sketch that illustrates this particular situation. Please label all relevant information for this probability density function. (5 pts) b. What is the probability that the filling rate at any one time is between 21.3 and 24.6 gallons per minute? (6 pts) c. What is the median rate at which this swimming pool is filled? (4 pts) 8....
The price of a bond is uniformly distributed between $60 and $100. What is the probability...
The price of a bond is uniformly distributed between $60 and $100. What is the probability that the bond price will be at least $83?          [5 pts.] What is the probability that the bond price will be between $55 to $90? [5 pts.] What is the probability that the bond price will be less than $85? [5 pts.] What is the probability that the bond price will be more than $92.5? [5 pts.] Determine the expected price of the bond....
The price of a bond is uniformly distributed between $60 and $100. What is the probability...
The price of a bond is uniformly distributed between $60 and $100. What is the probability that the bond price will be at least $83?          [5 pts.] What is the probability that the bond price will be between $55 to $90? [5 pts.] What is the probability that the bond price will be less than $85? [5 pts.] What is the probability that the bond price will be more than $92.5? [5 pts.] Determine the expected price of the bond....
The process time of a complex model of a supercomputer is uniformly distributed between 300 to...
The process time of a complex model of a supercomputer is uniformly distributed between 300 to 480 milliseconds (show formula used). a. Determine the probability density function. b. Compute the probability that the processing time will be less than or equal to 435 milliseconds. c. Determine the expected processing time.
The process time of a complex model of a supercomputer is uniformly distributed between 300 to...
The process time of a complex model of a supercomputer is uniformly distributed between 300 to 480 milliseconds (show formula used). a. Determine the probability density function. b. Compute the probability that the processing time will be less than or equal to 435 milliseconds. c. Determine the expected processing time.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT