### Distribution of Major HurricanesThe accompanying table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012. Complete parts (a) and (b) below.#### Part (a)Find and interpret the mean of the random variable \( \mu \) = [Instructions here], rounding to three decimal places as needed.#### Distribution of Major Hurricanes| Y | P(Y=y) ||---|----------|| 0 | 0.1845 || 1 | 0.2383 || 2 | 0.2383 || 3 | 0.1684 || 4 | 0.0726 || 5 | 0.0307 || 6 | 0.0131 || 7 | 0.0051 || 8 | 0.0054 || 9 | 0.0054 |#### Instructions:1. Find the mean (μ) for the given probability distribution. Use the formula:\[ μ = \sum (Y \times P(Y=y)) \]2. Interpret the mean in the context of this distribution.#### Part (b)[Remainder of instructions and content for part (b)]For help solving the problem or viewing an example, see the "Help me solve this" or "View an example" options.### Additional Resources- Learning & Resources- Accessibility Resources- Communication ToolsRemember to click "Done" once you have completed the interpretation, and you can also use the "Print" option if needed.---**Note**: This text is for educational purposes, guiding users through calculating and interpreting the mean of a probability distribution. The table displayed is a distribution of major hurricanes based on the provided data.

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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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The table summarizes results from 990 pedestrian deaths that were caused by automobile accidents. Driver Pedestrian Intoxicated? Intoxicated? Yes No Yes 47 79 No 269 595 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was intoxicated. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob = %
The table below shows the frequency distribution of the rainfall on 52 consecutive Fridays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Choose the correct histogram below. O A. 30- Class Frequency 20- 0-0.19 20 10- 0.20 - 0.39 13 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 0.40 - 0.59 6 0.60 - 0.79 1 OB. 30- 0.80 – 0.99 1.00 – 1.19 5 20- 1.20 - 1.39 10- 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 OC. 30- 20- 10- 0- 0.0 0'2 0.4 0.6 0.8 1.0 12 1.4
Use the data in the following table, which lists survey results from undergraduate school students. Assume that subjects are randomly selected from those included in the table. If one of the students is randomly selected, find the probability that the selected student took online courses and took in-person courses. Round three decimal places. Student Took Online Courses Yes Student took in-person courses 2800 Student have not taken in- 4460 person courses 0.748 354 0.345 O 285 No 720 140
one z-score unit is equivalent to ______ of the distribution. a. the variance b. the range c. the standard deviation d. the mean e. the correlation coefficient
Mitchell is getting ready to take a baseball rules exam in order to becomne certified as a baseball umnpire in his local community. Past scores on the rules exam form a normal distribution with u = 80 and o = 6. Mitchell must score in the highest 25% of the distribution in order to become a certified umpire. Which minimum score does Mitchell need to obtain on the rules exam to become a certified umpire? OX= 76 O X- 84 OX= 86 OX-81
A manufacturer collected a sample of 56 bolts of cloth from a day's production. Each bolt is carefully inspected and the number of imperfections is recorded in the following table. According to the given table, mean is median is mode is (Round your answer to three decimal places if needed.) Number of imperfections 1 Number of bolts 39 9. 3 3. 2. 5.
A survey asked a group of people the size of their households. The results are shown in the frequency distribution. What is the mean of the frequency distribution? Household size 25 2 3 4 5 16.4 3.28 2
Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual gain of the Dow Jones Industrial Average was 653. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume o = 1540. The probability is (Round to four decimal places as needed.) Interpret the result. Select the correct choice and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. About OB. About OC. About OD. About % of samples of 46 years will have an annual mean gain between 400 and 800. % of samples of 34 years will have an annual mean gain between 653 and 800. % of samples of 34 years will have an annual mean gain between 400 and 800. % of sampl of 34 years will have an annual mean gain between 400 and 653.
The table summarizes results from 990 pedestrian deaths that were caused by automobile accidents. DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 47 86 No 237 620 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was not intoxicated.Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.prob = % Add Work
Use the dataset of GPAs below to calculate the tail probability of a GPA of 1.3. You should use a calculator to help you. GPAs: 3.0, 1.2, 4.0, 3.9, 3.8, 3.0, 2.7, 2.3, 1.9, 4.0, 1.9, 1.1 Write your answer as a number between 0 and 1, where 0 is 0% and 1 is 100%. Round your answer to three decimal places.
Ti A fitness instructor at a large gym would like to know if the individuals that take fitness classes in the morning tend to get in a greater number of steps than individuals that take evening fitness classes. She selects a random sample of 10 individuals that take fitness classes in the morning and 10 individuals that take fitness classes in the evening. She gives each person a step-counting At 10 device to wear for one week. At the end of the week she collects the devices and calculates the mean and standard deviation of the number of steps taken by the individuals in each group. Let uM = the true mean number of steps taken by all individuals who take fitness classes in the morning and HE = the true mean number of steps taken by all individuals who take fitness classes in the evening. What are the appropriate hypotheses for this test? O Ho: HM - HE = 0; Ho: HM - HE 0; H: HM - HE = 0 O Ho: HM HE = 0; Ha: HM - HE > 0 O Ho: HM HE < 0; H HM - HE = 0 O Ho: HM - HE - 0: H HM - HE #0

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