Question

Going to a Party Jing and Bob are each invited to a party. From previous experience, it is known that there is a 95% probability that at least one of them will actually go to the party. In addition, Jing will actually go to the party with 80% probability, and Bob will actually go to the party with 75% probability. Based on this information, you are asked to determing what can be said about these two events: Event 1: "Jing will actually go to the party" and Event 2: "Bob will actually go to the party" Q1) Are these two events complementary events? Q2) Are these two events disjoint (or mutually exclusive) events? Q3) Are these two events independent events? For each Question, provide your answer of Yes or No and appropriate explanation to support for your answer. Question 4 Answer

Answer 1

Answer:

1. NO

2. NO

3. YES

Explanation:

A complementary event are those event that it's probability can be sum up to 1. That's means in two events their must be one out come. Example is using a coin head and tail. In complementary event, the two out come can not occurs the same time. Since their is possiblity of Bob and Jing going the party, that means even 1 and event 2 can occurs the same time.

A disjoint event are those even which it's out come are not similar. And it is an event in which in a two chances one must occur, it is similar to the complementary event but it's not the same with it. Disjoint event only allows one event outcome, in a chance of two event.

The two event are independent, because event one does not depend on event two to occur. The two even can occur together, and the other can occur while the other won't. Since Bob and Jing probability of going to the party are separate. Their probability out come those not depend on each other's out come. This is the correct statement.