Question

Fight Covid is a new startup company that provides consultancy to Health Canada regarding the current pandemic. The company is currently collecting data to study if people with different blood types have different levels of resistance against getting infected by COVID-19 across Canada. Their current data includes information from 1000 patients, 300 of whom are located in Alberta. According to the collected data, 1/3 of Alberta patients have blood type A+. Furthermore, in total, there are 450 patients with blood type A+ and half of them are in Quebec. Answer the following questions, given that 340 patients in Ontario have either A- or AB blood types. (Other blood types are not included in this problem.)

Note/Hint: Use the following contingency table (as needed) to answer the questions. You do not have to fully complete the table, but it will likely help!

*For all of Question 18, show your answer in ratio format.

For example, 3/4, instead of 0.75.

Question 18-1 : What is the probability that a randomly selected patient is in Ontario?

Question 18-2 : If we randlomly select a patient with blood type A+, what is the probability that the patient is from Alberta?

Question 18-3 : What is the probability that a randomly selected patient has blood type A+ or lives in Alberta?

Question 18-4 : If we randlomly select a patient from Quebec, what is the probability that the patient has blood type A- or AB?

Answer 1

	A+	A-or AB	Total
Alberta	100	200	300
Quebec	225	10	235
Ontario	125	340	465
Total	450	550	1000

The highlighted values are given in the question rest is calculated in the contigency table.

1)  the probability that a randomly selected patient is in Ontario =

2) the probability that the patient is from Alberta given A + =

3)  the probability that a randomly selected patient has blood type A+ or lives in Alberta

4) he probability that the patient has blood type A- or AB given he is from Quebic =