uppose that the random variable , shown below, represents the robability of a randomly selected person having received that nur eriod. Use the probability distribution table shown below to answ I P(x) 0.359 0.2991 0.2005 0.0711 0.0386 0 1 2 3 4 6

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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      | 0.359      |
| 1      | 0.2991     |
| 2      | 0.2005     |
| 3      | 0.0711     |
| 4      | 0.0386     |
| 5      | 0.0317     |
| 6+     | 0.0000     |

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 two tickets in a three-year period?

\[ P(x = 2) = \]

c) What is the probability that a randomly selected person has received more than two tickets in a three-year period?

\[ P(x > 2) = \]

d) What is the probability that a randomly selected person has received one or fewer tickets in a three-year period?

\[ P(x \leq 1) = \]
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 | 0.359 | | 1 | 0.2991 | | 2 | 0.2005 | | 3 | 0.0711 | | 4 | 0.0386 | | 5 | 0.0317 | | 6+ | 0.0000 | 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 two tickets in a three-year period? \[ P(x = 2) = \] c) What is the probability that a randomly selected person has received more than two tickets in a three-year period? \[ P(x > 2) = \] d) What is the probability that a randomly selected person has received one or fewer tickets in a three-year period? \[ P(x \leq 1) = \]
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