EXCELL ANSWER PLEASE!!! Each of a sample of four home mortgages is classified as

Question

EXCELL ANSWER PLEASE!!!

Each of a sample of four home mortgages is classified as

fixed rate (F) or variable rate (V).

b. Which outcomes are in the event that exactly three of the

selected mortgages are fixed rate?

c. Which outcomes are in the event that all four mortgages

are of the same type?

d. Which outcomes are in the event that at most one of the

four is a variable-rate mortgage?

e. What is the union of the events in parts (c) and (d), and

what is the intersection of these two events?

f. What are the union and intersection of the two events in

parts (b) and (c)?

find the probability for all the events from (b) through (f)

Explanation / Answer

F represents event of fixed rate

V represents event of Variable rate

b. Which outcomes are in the event that exactly three of the selected mortgages are fixed rate?

1. FFFV

2. FFVF

3. FVFF

4. VFFF

c. Which outcomes are in the event that all four mortgages are of the same type?

(All the four can be fixed or can be Variable.)

1.FFFF

2.VVVV

d. Which outcomes are in the event that at most one of the four is a variable-rate mortgage?

(Only one can be Variable -rate and others are fixed or All are can be Fixed)

1.VFFF

2.FVFF

3.FFVF

4.FFFV

5.FFFF

e. What is the union of the events in parts (c) and (d), and what is the intersection of these two events?

All the events in (c), (d)' if there are any duplicate events, they shall appear only once.

Events in (c)

1.FFFF

2.VVVV

Events in (d)

3.VFFF

4.FVFF

5.FFVF

6.FFFV

FFFF is duplicate event occuring both in (c) and (d) so this shall be shown only once

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