3. Predicting when a Florida hurricane occurs (Southeastern Geographer (Summer 2009))In an effort to minimize the monetary losses that result from a devastating Florida hurricane, partof the researchers' analysis included a graphic showing the sequence number of tropical stormswithin a season that are most likely to develop into a hurricane. Data for 67 hurricanes aresummarized in the table. Let x represent the sequence number of a Florida tropical storm withina season that develops into a hurricaneenceNumber1012131415a) Explain why x represents a discrete random variableb) Specify the probability distribution for xc) Find P(x-5)d) Find P(x < 5)e) Find E(x) and interpret the resultf) Is it likely to observe a hurricane after the 15th tropical storm of the season? Explain

a.Explain the reason behind representing x as discrete random variable:Discrete random variable:If…

Answered: 3. Predicting when a Florida hurricane…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table. R F eTextbook and Media Save for Late O % 5 T O >> G H (9) 2 Number Accepted Number Enrolled Find the correlation between the number of students accepted and enrolled. Use two decimal places in your answer. & 2,440 2,800 2,720 2,360 2,660 2,620 8 6 611 K 708 637 584 614 625 ( 9 L Attempts: 0 of 1 used ) 0 P Submit Answer 56°F Cl Backspa
2. A.) Find the 5-number summary for the data. B.) Is the data discrete or continuous?
The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, x Wingspan, y Humerus, x Wingspan, y 27 576 32 589 33 605 35 745 25 559 24 552 23 472 22 461 18 411 17 410 1.5 36 1.4 30 1.3 29 0.9 28 0.8 24 (a) Find the equation of the least-squares regression line for the data. Round constants to the nearest hundredth. (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 56 centimeters. cm
15. Diameter of Douglas Fir Trees The diameter of the Douglas fir tree is measured at a height of 1.37 meters. The S following data represent the diameter in centimeters of a random sample of 12 Douglas firs in the western Washington Cascades. 156 162 147 173 147 190 130 101 159 113 181 109 Source: L. Winter. "Live Tree and Tree-Ring Records to Reconstruct the Structural Development of an Old-Growth Douglas Fir/Western Hemlock Stand in the Western Washington Cascades." Corvallis, OR: Forest Science Data Bank, 2005. (a) Obtain a point estimate for the mean and standard deviation diameter of a Douglas fir tree in the western Washington Cascades. (b) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the data do not contain any outliers. The figures show the normal probability plot and boxplot. The correlation between the tree diameters and expected z-scores is 0.982. Use Option 1 or Option 2 to determine if the…
Topic: FREQUENCY DISTRIBUTION DATA GROUPED Below are the durations (in seconds) of songs that were popular. (The Songs are by Timberlake, Furtado, Daughtry, Stefani, Fergie, Akon, Ludacris, Beyonce, Nickelback, Rihanna, Fray, Lavigne, Pink, Mims, Mumidee and Omarion). 448 242 231 246 246 293 280 227 244 213 262 239 213 258 255 257 A. Find the range, mean, median, mode, the variance and the standard deviation. B. Is any duration very different from the others? How is this fact evidenced in each of the Measures of location and dispersion found? C. Calculate the coefficient of variation. What can say about the relationship between the average duration of the songs and the calculated deviation?
Assume we have data on all of the the students in our class. There are 25 students in the class. There are 4 seniors in the class and there are 6 juniors. What is the cumulative relative frequency of juniors and seniors?
Shown in the table below are the one-way airfares between 5 cities5 . Create a graph showing this data. Honolulu Moscow London Cairo Seattle $159 $370 $654 $684 Honolulu $830 $854 $801 London $245 $323 Moscow $329
6. A social worker looks at data in her state regarding the relationship between being in foster care and having a criminal record by the age of 25. "Aging out' refers to when a youth turns 18 years old and is expected to move out of foster care and start their lives on their own. Fictional data fro 1350 youths is shown below. Answer the following questions in the space below, labeling each response a, b, or c. What percentage of youths overall were adopted before aging out, and had a criminal record? What percentage of youths were in foster care until they were aged out? True or False: If foster care status and having a crime record were independent of each other, and 55% overall had no crime record, you would expect 55% of those who aged out in foster care to have no crime record. No crime record Crime record Total Foster care until ‘aged out’ 445 450 895 Adopted before aging out 300 155…
8. On the first Saturday in May, the Kentucky Derby takes place at Churchill Downs in Louisville, Kentucky. A total of 20 horses race in the Kentucky Derby, and they race around a track that is 1.25 miles long. The graph below shows the speeds (in miles per hour, or mph) for all 123 horses who have won the Kentucky Derby from 1896 through 2018. a. Describe the shape, center and variability of the distribution of speeds. Frequency 30 25 20 15 10- 5- 0 b. The 2018 winner of the Kentucky Derby was Justify. Justify had a speed of 36.23 mph. Is 36.23 mph a low, high, or typical amount of this distribution? Please explain. c. Approximately what percentage of winners in this distribution have speeds that are greater than or equal to 37 mph? 33.75 34.50 35.25 36.00 36.75 37.50
Continue monitoring the process. A second ten days of data have been collected, see table labeled “2nd 10 Days of Monitoring Reservation Processing Time” in the Data File. Develop Xbar and R charts for the 2nd 10 days of monitoring. Plot the data for the 2nd 10 days on the Xbar and R charts. Is the reservation process for the 2nd 10 days of monitoring in control? If the control chart indicates an out-of-control process, note which days, the pattern, and whether it is the Xbar or R chart. Based on the X-bar and R Charts that you developed for the 2nd 10 days of data, is the process in control? Group of answer choices No. The X-bar and R Charts are both out of control. No. The X-bar Chart is in control, but the R Chart is out of control. No. The R Chart is in control, but the X-bar Chart is out of control. Yes. The X-bar and R Charts are both in control.

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