Explanation:

According to Robert Sternberg's triarchic theory of intelligence, intelligence is composed of three main components: contextual intelligence, componential intelligence, and experiential intelligence. Each component plays a different role in an individual's intellectual abilities and success in different domains.

1. Contextual Intelligence:
Contextual intelligence refers to the ability to understand and adapt to different environmental contexts. It involves practical knowledge, social skills, and the ability to navigate and succeed in real-world situations. People high on contextual intelligence are good at understanding and using resources effectively in their environment, but this component is not directly related to success in schools or thinking analytically and critically.

2. Emotional Intelligence:
Emotional intelligence refers to the ability to understand and manage one's own emotions and the emotions of others. It involves skills such as empathy, self-awareness, and social awareness. While emotional intelligence is important for interpersonal relationships and emotional well-being, it is not directly related to success in schools or thinking analytically and critically.

3. Componential Intelligence:
Componential intelligence, also known as analytical intelligence, is the component that is most closely related to success in schools and thinking analytically and critically. It involves the ability to analyze, reason, problem-solve, and think critically. People high on componential intelligence are good at logical and analytical thinking, and they excel in academic settings where these skills are valued.

4. Experiential Intelligence:
Experiential intelligence refers to the ability to think creatively and apply knowledge effectively in new and unfamiliar situations. It involves skills such as creativity, insight, and the ability to think outside the box. While experiential intelligence is important for innovation and adaptation, it is not directly related to success in schools or thinking analytically and critically.

Conclusion:
According to Sternberg, persons high on componential intelligence, which is characterized by analytical and critical thinking abilities, are more likely to succeed in schools. This component involves the skills needed for academic success, such as logical reasoning, problem-solving, and critical thinking.