Suppose that the random variable x, shown below, represents the number 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. 43 P(x) 0.2951 0.2587 0.1924 0.1604 0.0492 x 0 1 2 3 4

MATLAB: An Introduction with Applications
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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?

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

\[
\text{Next Question}
\]
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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