4. A large corporation organised a ballot for all its workers on a new pension scheme. It was found that 60% of all night-shift workers favoured the plan and that 35% of all female workers favoured the plan. Also, 45% of all employees are night-shift workers, and 25% of all employees are women. Finally, 15% of night-shift workers are women. (a) What is the probability that a randomly selected employee is a woman in favour of the scheme? (b) What is the probability that a randomly chosen employee is either a woman or a night-shift worker or both? 2 (c) What is the probability that a female employee is a night-shift worker? (d) If 60% of all male employees favoured the scheme, what is the probability that a randomly chosen employee both does not work night-shifts and does not favour the scheme?
4. A large corporation organised a ballot for all its workers on a new pension scheme. It was found that 60% of all night-shift workers favoured the plan and that 35% of all female workers favoured the plan. Also, 45% of all employees are night-shift workers, and 25% of all employees are women. Finally, 15% of night-shift workers are women. (a) What is the probability that a randomly selected employee is a woman in favour of the scheme? (b) What is the probability that a randomly chosen employee is either a woman or a night-shift worker or both? 2 (c) What is the probability that a female employee is a night-shift worker? (d) If 60% of all male employees favoured the scheme, what is the probability that a randomly chosen employee both does not work night-shifts and does not favour the scheme?
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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4. A large corporation organised a ballot for all its workers on a new pension scheme. It was
found that 60% of all night-shift workers favoured the plan and that 35% of all female
workers favoured the plan. Also, 45% of all employees are night-shift workers, and 25%
of all employees are women. Finally, 15% of night-shift workers are women.
ChatGPT
(a) What is the probability that a randomly selected employee is a woman in favour of
the scheme?
SAMSUNG
(b) What is the probability that a randomly chosen employee is either a woman or a
night-shift worker or both?
2
(c) What is the probability that a female employee is a night-shift worker?
(d) If 60% of all male employees favoured the scheme, what is the probability that a
randomly chosen employee both does not work night-shifts and does not favour the
scheme?
3
X
4
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11/01/2024
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VIEWStep 2: (a) Calculation of P (A randomly selected employee is a woman in favor of the scheme)
VIEWStep 3: (b) Calculation of P(A randomly chosen employee is either a woman or a night shift worker or both)
VIEWStep 4: (c) Calculation of P(A female employee is a night shift worker)
VIEWStep 5: (d) Calculation of P (randomly chosen worker doesn't favor scheme and work in night)
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