MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose that the random variable \( x \), shown below, represents the number of times. \( P(x) \) 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.

| \( x \)   | \( P(x) \) |
|-----------|-----------|
| 0         | 0.2951    |
| 1         | 0.2587    |
| 2         | 0.1924    |
| 3         | 0.1604    |
| 4         | 0.0492    |
| 5         | 0.0442    |
| 6+        | 0.0000    |

a) What is the probability that a randomly selected person has received five tickets in a three-year period?

\[ P(x = 5) = \]

b) What is the probability that a randomly selected person has received one ticket in a three-year period?

\[ P(x = 1) = \]

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 one or less tickets in a three-year period?

\[ P(x \leq 1) = \]

\[
\text{Next Question}
\]
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Transcribed Image Text:Suppose that the random variable \( x \), shown below, represents the number of times. \( P(x) \) 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. | \( x \) | \( P(x) \) | |-----------|-----------| | 0 | 0.2951 | | 1 | 0.2587 | | 2 | 0.1924 | | 3 | 0.1604 | | 4 | 0.0492 | | 5 | 0.0442 | | 6+ | 0.0000 | a) What is the probability that a randomly selected person has received five tickets in a three-year period? \[ P(x = 5) = \] b) What is the probability that a randomly selected person has received one ticket in a three-year period? \[ P(x = 1) = \] 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 one or less tickets in a three-year period? \[ P(x \leq 1) = \] \[ \text{Next Question} \]
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