On November 20, 2020, Pfizer and BioNTech applied to the US Food and Drug Administration for emergency use authorization of their Covid-19 vaccine. The application was based on interim results from the phase 3 clinical trial. About 51.05% of the study participants had received the vaccine. Of the participants in the trial who had received the vaccine, 0.04% became infected with Covid-19. Of the participants in the trial who had not received the vaccine, 0.78% became infected with Covid- 19. Show your work for the following questions. Keep six decimal places. (i). What is the probability that a participant became infected with Covid-19? Keep four decimal places. (ii). If a participant became infected with Covid-19, what is the probability that he/she had received the vaccine? Keep four decimal places. (iii). Are the events A = {a participant received the vaccine} and B = {a participant became infected with Covid-19} independent? Explain. %3D

On November 20, 2020, Pfizer and BioNTech applied to the US Food and Drug Administration for emergency use authorization of their Covid-19 vaccine. The application was based on interim results from the phase 3 clinical trial. About 51.05% of the study participants had received the vaccine. Of the participants in the trial who had received the vaccine, 0.04% became infected with Covid-19. Of the participants in the trial who had not received the vaccine, 0.78% became infected with Covid- 19. Show your work for the following questions. Keep six decimal places. (i). What is the probability that a participant became infected with Covid-19? Keep four decimal places. (ii). If a participant became infected with Covid-19, what is the probability that he/she had received the vaccine? Keep four decimal places. (iii). Are the events A = {a participant received the vaccine} and B = {a participant became infected with Covid-19} independent? Explain. %3D

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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