g Problem 1 Provide the following definitions and examples. Please use different examples for each. (a) Define what it means for two events to be mutually exclusive. (b) Provide an example of two events that are mutually exclusive. (c) Define what it means for two events to be independent. (d) Provide an example of two events that are independent. (e) Define what it means for two events to be ‘correlated’. (f) Provide an example of two events that are correlated.

Respuesta :

Answer:

Step-by-step explanation:

a) Two events are mutually exclusive when the occurrence of one of the events implies the no occurrence of the other one.

b) Example : If you toss a coin you will either have a head or a tail.

To have head or to have tail are events mutually exclusive

c) Two events are independent if the occurrence of any of then does not influence the occurrence of the other in any way.

d) Example: Mary is married and Bob is tall.

The fact that Mary is married has nothing to do with the fact that Bob is tall

e) Two events are correlated when a relation exist between then. In other words if it is possible to express one of then as a function of the other one.

f) Bob told me he will come if he feels better.

For Bob to come it is neccesary that he feels better