Question

1. A Statistic Canada Census survey is administered to landed-immigrants Winnipeggers and is used to determine eligibility for Canadian citizenship. It is classified by continent of origin and whether they are eligible or not to apply for Canadian citizenship as shown below. (8 points)

		Continent of Origin
Eligible	Africa	Europe	Asia	South America
Yes	86	98	77	45
No	44	32	48	15

1. What is the probability that a randomly selected person is Asian?
2. What is the probability that a randomly selected person is eligible to apply for Canadian citizenship?
3. What is the probability that a randomly selected person is African and eligible to apply for citizenship?
4. Given that the person is European, what is the probability that a person is not eligible to apply for citizenship?
5. Given that the person is eligible to apply for citizenship, what is the probability that they are South American?

Answer 1

Answer:-

Eligible	Africa	Europe	Asia	South America	Total
Yes	86	98	77	45	306
No	44	32	48	15	139
Total	130	130	125	60	445

We use the above table to calculate the given probabilities

​​​​Hence,

​​​​​

(a) The probability that a randomly selected person is Asian is given by = 125 ÷ 445

= 0.281

(b) The probability that a randomly selected person is eligible to apply for Canadian citizenship is given by

= 306 ÷ 445

= 0.688

(c) The probability that a randomly selected person is African and eligible to apply for citizenship is given by

= 86 ÷ 445

= 0.193

(d) The person is European, what is the probability that a person is not eligible to apply for citizenship is given by

= 32 ÷ 445

= 0.072

(e) The person is eligible to apply for citizenship, what is the probability that they are South American is given by

= 45 ÷ 445

= 0.101