(a) Give P(An B') = 0.52,P(A) = 0.7 and P(B) = 0.2.Find P(An B).i.QUESTION 3ii.Are A and B mutually exclusive events?iii. Hence, determine whether A and B are independent events.(b) Janice obtained data about deaths involving Covid-19 based on the people whohad received vaccines. The total death cases of people who had received theSinovac vaccine are 1092 cases. Among 1328 people who had received one vaccinedose, there were death cases on 750 people who are Sinovac vaccine recipients,228 people who are AstraZeneca vaccine recipients and the rest are Pfizer vaccinerecipients. There were 71 death cases among people who received a second doseof Pfizer vaccine and 5 death cases among people who received a second dose ofAstraZeneca vaccine.i. Construct a contingency table to represent the information above.One of these death cases is chosen at random. Hence, find the probability that thepeople areii. Pfizer vaccine recipients or received both vaccine doses.iii. The Sinovac vaccine recipients knowing that he does not receive the seconddose.iv. State with a reason whether or not the events 'the deaths cases involvingpeople who had received AstraZeneca vaccine' and 'the deaths cases involvingpeople who had received both vaccine doses' are independent.

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Answered: (a) Give P(An B') = 0.52, P(A) = 0.7…

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(a) Give P(An B') = 0.52, P(A) = 0.7 and P(B) = 0.2. i. Find P(An B). ii. Are A and B mutually exclusive events? iii. Hence, determine whether A and B are independent events.