In the Expression $\operatorname { Pr } \left( Y = 1 \mid = \boldsymbol { \Phi } \left( \beta _ { 0 } + \beta _ { 1 } X \right) \right.$

question 20

Multiple Choice

In the expression $\operatorname { Pr } \left( Y = 1 \mid = \boldsymbol { \Phi } \left( \beta _ { 0 } + \beta _ { 1 } X \right) \right.$

• A) \(\left( \beta _ { 0 } + \beta _ { 1 } X \right)\) plays the role of z in the cumulative standard normal distribution function.
• B) \(\beta _ { 1 }\) cannot be negative since probabilities have to lie between 0 and 1 .
• C) \(\beta _ { 0 }\) cannot be negative since probabilities have to lie between 0 and 1 .
• D) \(\left( \beta _ { 0 } + \beta _ { 1 } X \right) > 0\) since probabilities have to lie between 0 and 1 .

---

Definitions:

Drug Users

Individuals who consume substances, which can alter mood, perception, or consciousness, including both legal (prescription) drugs and illegal substances.

African Immigrants

Individuals from Africa who have moved to a different country, bringing diverse cultures, languages, and perspectives to their new communities.

Black Families

Family units or structures that are part of the African American community or those of African descent.

Atlantic Slave Trade

The systematic importation of African slaves from their native continent across the Atlantic Ocean to the New World, largely fueled by rising demand for sugar, rice, coffee, and tobacco.