A safety agency was interested in whether penalties for talking on a cell phone while driving reduce the probability that individuals will DO SO. They randomly contacted 100 cell phone users. Fifty were from a state that had a law prohibiting this behavior, and 50 were from a state that had no such law. The data follow:

a. Calculate the simple probability that someone uses a cell phone while driving.
b. Calculate the joint probability that someone is in a state without the law and uses their cell phone while driving.
c. Calculate the probability that someone will use their cell phone while driving given they live in state with the law.

Question

A safety agency was interested in whether penalties for talking on a cell phone while driving reduce the probability that individuals will DO SO. They randomly contacted 100 cell phone users. Fifty were from a state that had a law prohibiting this behavior, and 50 were from a state that had no such law. The data follow: 
  
a. Calculate the simple probability that someone uses a cell phone while driving. 
b. Calculate the joint probability that someone is in a state without the law and uses their cell phone while driving. 
c. Calculate the probability that someone will use their cell phone while driving given they live in state with the law.

Quizplus · Accepted Answer

The Answer of A safety agency was interested in whether penalties for talking on a cell phone while driving reduce the probability that individuals will DO SO. They randomly contacted 100 cell phone users. Fifty were from a state that had a law prohibiting this behavior, and 50 were from a state that had no such law. The data follow: 
  
a. Calculate the simple probability that someone uses a cell phone while driving. 
b. Calculate the joint probability that someone is in a state without the law and uses their cell phone while driving. 
c. Calculate the probability that someone will use their cell phone while driving given they live in state with the law.

A Safety Agency Was Interested in Whether Penalties for Talking