---**Probability Distribution of Speeding Tickets Over a Three-Year Period****Scenario:**Suppose that the random variable \( x \), shown below, represents the number of speeding tickets received. \( P(x) \) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions.**Probability Distribution Table:**| \( x \) | \( P(x) \) ||--------|-------------|| 0 | 0.3657 || 1 | 0.3282 || 2 | 0.1731 || 3 | 0.0563 || 4 | 0.046 || 5 | 0.0307 || 6+ | 0.0000 |**Questions:**a) What is the probability that a randomly selected person has received one ticket in a three-year period?\[ P(x = 1) = \_\_\_\_\_ \]b) What is the probability that a randomly selected person has received four tickets in a three-year period?\[ P(x = 4) = \_\_\_\_\_ \]c) What is the probability that a randomly selected person has received more than zero tickets in a three-year period?\[ P(x > 0) = \_\_\_\_\_ \]d) What is the probability that a randomly selected person has received two or fewer tickets in a three-year period?\[ P(x \leq 2) = \_\_\_\_\_ \]---**Explanation of Graphs or Diagrams:**The table given above is a probability distribution table, which lists potential outcomes (number of speeding tickets) and their corresponding probabilities. For example, the table shows that the probability of receiving zero tickets is 0.3657, and the probability of receiving one ticket is 0.3282.

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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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2
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Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. Use the table below to answer the following questions, you may round your answers to three decimal places, if necessary. aP(x) 0.192 1 0.203 0.281 3 0.189 4 0.077 0.035 0.019 0.003 0.001 a. What is the probability that a randomly selected student changed their major at least once? Preview b. What is the probability that a randomly selected student changed their major fewer than two times? Preview c. What is the probability that they changed majors more than three times? Preview 479

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