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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)
xP(X=x) 00.009210.082220.274530.407440.2267\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)
xP(X=x) 00.009210.082220.183030.407440.2267\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)
xP(X=X) 10.6920.476130.328540.2267\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)
xP(X=x) 00.009210.082220.274530.425440.2087\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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