Question

Probability For a research project for Meteorology you are to study in depth hurricanes that are the first major hurricane of their season in a particular state. In your research you determine the information in the summary below.

Data on Month of First Hurricane of Season
	Water	Jun	Jul	Aug	Sep	Summary
	Atlantic (A)	0	0	6	2	8
	Both (B)	0	1	0	0	1
	Gulf (G)	2	2	0	0	4
	Summary	2	3	6	2	13

If you chose a hurricane at random from the set of data summarized in the above table.

1. What is the probability the hurricane is in August?                                           

2. What is the probability that the hurricane is in the Gulf and the month is June?                                          

3. What is the probability that the hurricane is in the Gulf given that it is July?                                 

4. What is the probability that the hurricane is in August given that it is in Atlantic waters?                        

5. What is the probability the hurricane is in the Gulf given that the month is June or July? P(G|June) or P(G|July) =                                                 

Record handwork showing the symbol, the ratio, and the proportion rounded to two decimal places.

Answer 1

(1)

P(August) = 6/13 = 0.46

So,

Answer is:

0.46

(2)

P(G AND June) = 2/13 = 0.15

So,

Answer is:

0.15

(3)

P(G/July)=P(G AND July)/ P(July)

          = 2/3 = 0.67

So,

Answer is:

0.67

(4)
P(August/A) =P(August AND A)/P(A)

                  = 6/8 = 0.75

So,

Answer is:

0.75

(5)
P(G/June OR July) =P(G AND June or July)/ P(June OR July)

                          = 4/5 = 0.80

So,

Answer is:

0.80