### Probability Distribution of GPAs among College AthletesA marketing firm conducted a study to analyze the Grade Point Averages (GPAs) of college athletes. Data collected from 39 participants is summarized below. The purpose is to complete the probability distribution, rounding the results to three decimal places.#### Table: Distribution of GPAs among College Athletes| GPA | Number of Student Athletes | \( P(X = x) \) ||-------|----------------------------|----------------|| Below 2.0 | 9 | || 2.0 | 4 | || 2.5 | 9 | || 3.0 | 5 | || 3.5 | 6 | || 4.0 | 6 | |_Total number of participants: 39_#### Instructions for Completing the Table1. **Determine the Total Count:** The total number of participants is 39.2. **Calculate the Probability** for each GPA category by using the formula: \[ P(X = x) = \frac{\text{Number of Student Athletes in the GPA category}}{\text{Total number of participants}} \]3. **Round the Result** to three decimal places.#### Example CalculationFor the GPA category "Below 2.0":\[P(X < 2.0) = \frac{9}{39} \approx 0.231\]#### Completing the TableProceed to fill the probabilities for each GPA category by applying the provided formula and rounding accordingly.#### Interactive SubmissionAfter completing the table with the appropriate probabilities, click the "Submit Part" button to finalize your input.---This exercise helps in understanding how to calculate and interpret probability distributions, which are fundamental concepts in statistics and data analysis. The following table shows the number of people that have either 0, 1, 2, or 3 cars registered in their name, from a sample of 279 people.| x | n ||---|----|| 0 | 72 || 1 | 53 || 2 | 63 || 3 | 91 |(a) Find the mean number of cars owned for this sample. Give your answer to at least 2 decimal places.[Text box for answer](b) Find the standard deviation of cars owned for this sample. Give your answer to at least 2 decimal places.[Text box for answer]Question Help: [Link to Written Example][Submit Question Button]

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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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According to a 2009 Reader's Digest article, people throw away about 10% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 93 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.19? Answer = (Enter your answer as a number accurate to 4 decimal places.) Check Answer
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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.
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A marketing firm did a study regarding the GPA that college athletes have. The results from 39 participants are listed below. Complete the probability distribution rounding to 3 decimal places. P(X = x) GPA Below 2.0 2.0 2.5 3.0 3.5 4.0 Number of Student Athletes 9 4 9 5 6 6 Part 1 of 2 Submit Part