Question

Explain the difference between computing the probability that a randomly selected crime is an assault offense occurring between midnight and 12:59 am and computing the probability that a randomly selected crime is an assault offense given that it occurs between midnight and 12:59 am.

Options:
a) The former considers the overall occurrence of assaults; the latter examines the likelihood of an assault specifically within the mentioned time frame.
b) One concerns the likelihood of any crime during a specific hour; the other involves determining the specific crime during that hour.
c) One is about the overall probability of assaults; the other is a conditional probability specifically for assaults within that hour.
d) One calculates the chance of any crime; the other focuses on the probability of an assault within a specific hour.

Answer 1

The difference between the two probabilities lies in the context of conditional probability. The former considers overall assaults, while the latter specifically examines the likelihood of an assault within a given time frame.

Step-by-step explanation:

The correct answer is c) One is about the overall probability of assaults; the other is a conditional probability specifically for assaults within that hour.

The difference between computing the probability that a randomly selected crime is an assault offense occurring between midnight and 12:59 am and computing the probability that a randomly selected crime is an assault offense given that it occurs between midnight and 12:59 am is in the context of conditional probability. The former considers the overall occurrence of assaults, while the latter examines the likelihood of an assault specifically within the mentioned time frame. In other words, the former calculates the chance of any crime being an assault occurring between midnight and 12:59 am, whereas the latter focuses on the probability of an assault within that specific hour.