Find the Specified Probability Distribution of the Binomial Random Variable

question 10

Multiple Choice

Find the specified probability distribution of the binomial random variable.
-In one city, the probability that a person will pass his or her driving test on the first attempt is 0.69. Four people are selected at random from among those taking their driving test for the first time. Determine the probability distribution of X, the number among the four who pass the test.

• A)
• \(\begin{array}{r|r}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.0092 \\
• 1 & 0.0822 \\
• 2 & 0.2745 \\
• 3 & 0.4074 \\
• 4 & 0.2267
• \end{array}\)
• B)
• \(\begin{array}{c|r}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.0092 \\
• 1 & 0.0822 \\
• 2 & 0.1830 \\
• 3 & 0.4074 \\
• 4 & 0.2267
• \end{array}\)
• C)
• \(\begin{array}{r|r}
• \mathrm{x} & \mathrm{P}(X=\mathrm{X}) \\
• \hline 1 & 0.69 \\
• 2 & 0.4761 \\
• 3 & 0.3285 \\
• 4 & 0.2267
• \end{array}\)
• D)
• \(\begin{array}{c|r}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.0092 \\
• 1 & 0.0822 \\
• 2 & 0.2745 \\
• 3 & 0.4254 \\
• 4 & 0.2087
• \end{array}\)

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A calculated value from sample data used to decide whether to reject the null hypothesis in the context of a statistical test.

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A person who represents and advocates for the rights and interests of workers in negotiating with employers.

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A measure of the likelihood that an event will occur, expressed as a number between 0 and 1.