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)
• \(\begin{array}{c|r}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.0092 \\
• 1 & 0.0822 \\
• 2 & 0.2745 \\
• 3 & 0.4254 \\
• 4 & 0.2087
• \end{array}\)

Explain the concept of generalized anxiety disorder and its features.

Understand the role of avoidance behaviors in anxiety disorders.

Differentiate between anxiety disorders and other psychological disorders.

Recognize the impact of traumatic experiences on mental health and the development of PTSD.

---

Definitions:

External Locus

A belief that one's life events are largely influenced by external forces or the environment rather than by one's own efforts or attributes.

Attitude-Improving Feedback

Constructive criticism or suggestions provided with the intention of positively influencing someone's mindset or behavior.

Self-Absorbed

Preoccupied with one's own feelings, interests, or situations to the extent of overlooking the needs and concerns of others.

External Locus

The belief that one's outcomes in life are determined by external forces or environment rather than personal actions.