In the week beginning with Labour Day, there are 4 working days, 2 weekend days, and 1 statutory holiday. A day is chosen at random from this week. If it is known that the vendor's profit for the chosen day is more than $100, what is the probability that the day is a working day?

MATLAB: An Introduction with Applications
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A newspaper vendor notes that his profit for the day is more than $100 with a
probability of 0.7 on a working day, 0.8 on a weekend (Saturday or Sunday), and 0.9
on a statutory holiday (for example, Civic Holiday or Labour Day).
In the week beginning with Labour Day, there are 4 working days, 2 weekend days,
and 1 statutory holiday. A day is chosen at random from this week. If it is known that
the vendor's profit for the chosen day is more than $100, what is the probability that
the day is a working day?
O 0.7571
0.4
0.5283
0.6
0.4717
Transcribed Image Text:A newspaper vendor notes that his profit for the day is more than $100 with a probability of 0.7 on a working day, 0.8 on a weekend (Saturday or Sunday), and 0.9 on a statutory holiday (for example, Civic Holiday or Labour Day). In the week beginning with Labour Day, there are 4 working days, 2 weekend days, and 1 statutory holiday. A day is chosen at random from this week. If it is known that the vendor's profit for the chosen day is more than $100, what is the probability that the day is a working day? O 0.7571 0.4 0.5283 0.6 0.4717
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