4. In a certain organisation, 40% of the employees are vaccinated against covid-19, 25% of t employees are female and 10% of the female employees are vaccinated against covid-19. 4.1. If an employee is selected at random, what is the probability that a) the employee is male and did not get the vaccine? b) the employee is not vaccinated given that the employee is female? 4.2. Are events vaccinated and female independent?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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4. In a certain organisation, 40% of the employees are vaccinated against covid-19, 25% of the
employees are female and 10% of the female employees are vaccinated against covid-19.
4.1. If an employee is selected at random, what is the probability that
a) the employee is male and did not get the vaccine?
b) the employee is not vaccinated given that the employee is female?
4.2. Are events vaccinated and female independent?
Transcribed Image Text:4. In a certain organisation, 40% of the employees are vaccinated against covid-19, 25% of the employees are female and 10% of the female employees are vaccinated against covid-19. 4.1. If an employee is selected at random, what is the probability that a) the employee is male and did not get the vaccine? b) the employee is not vaccinated given that the employee is female? 4.2. Are events vaccinated and female independent?
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