Answer:
Probability of bringing a bottle of liquor into the country that is, the probability of bringing 1 bottle liquor into the country = P(B) = 0.31
The probability of not bringing a bottle of liquor into the country, that is, the probability of bringing 0 bottle liquor into the country = P(B') = 0.69
Probability distribution of bottle liquor
Let X represent the random variable of the number of bottle liquor brought into the country by a person
X | P(X)
0 | 0.69
1 | 0.31
Step-by-step explanation:
The joint probability distribution for the number of bottles of liquor and the number of cartons of cigarettes imported by Canadians who have visited the United States for 2 or more days is given in the question as
V | B
C | 0 | 1
0 | 0.62 | 0.16
1 | 0.07 | 0.15
Note that B = bottle liquor
C = Carton cigarettes
V is each variable
Let the probability of bringing a bottle of liquor into the country be P(B), that is, the probability of bringing 1 bottle liquor into the country.
The probability of not bringing a bottle of liquor into the country is P(B'), that is, the probability of bringing 0 bottle liquor into the country.
Let the probability of bringing a carton of cigarettes into the country be P(C), that is, the probability of bringing 1 carton cigarettes into the country.
The probability of not bringing a carton of cigarettes into the country is P(C'), that is, the probability of bringing 0 carton cigarettes into the country.
From the joint probability table, we can tell that
P(B n C) = 0.15
P(B n C') = 0.16
P(B' n C) = 0.07
P(B' n C') = 0.62
Find the marginal probability distribution of the number of bottles imported.
Probability of bringing a bottle of liquor into the country that is, the probability of bringing 1 bottle liquor into the country = P(B)
P(B) = P(B n C) + P(B n C') = 0.15 + 0.16 = 0.31
The probability of not bringing a bottle of liquor into the country, that is, the probability of bringing 0 bottle liquor into the country = P(B')
P(B') = P(B' n C) + P(B' n C') = 0.07 + 0.62 = 0.69
Probability distribution of bottle liquor
Let X represent the random variable of the number of bottle liquor brought into the country by a person
X | P(X)
0 | 0.69
1 | 0.31
Hope this Helps!!!
