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A Cell Phone Salesperson Has Kept Records on the Customers

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A cell phone salesperson has kept records on the customers who visited his store. Forty percent of the customers who visited the store were female. Furthermore, the data show that 35% of the females who visited his store purchased a cell phone, while 20% of the males who visited his store purchased a cell phone. Let A1 represent the event that a customer is a female, A2 represent the event that a customer is a male, and B represent the event that a customer will purchase a phone.
What is the probability that a female customer will purchase a cell phone?


Definitions:

Acetyl CoA

A central metabolic molecule that signifies the convergence point of several metabolic pathways, crucial in energy production.

Chemiosmosis

Chemiosmosis is the movement of ions across a selectively permeable membrane, down their electrochemical gradient, fundamental in processes like ATP synthesis in cells.

Proton Gradient

A gradient formed by the difference in proton concentrations across a membrane, often used to generate ATP in cellular respiration and photosynthesis.

Mitochondrial Membrane

The membrane that encloses the mitochondrion, consisting of an outer membrane and an inner membrane with folds known as cristae, where energy production occurs.

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