A Cell Phone Salesperson Has Kept Records on the Customers

question 127

Short Answer

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?

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Definitions:

Wavelike Pattern

A pattern characterized by cyclic alternations resembling the form of waves, which can occur in various contexts such as data trends or physical phenomena.

Exponential Smoothing

Exponential smoothing is a time series forecasting method for univariate data that applies weighting factors which decrease exponentially over time.

Forecast

A prediction or estimate of future events or trends, often based on current data and analysis.

Random Variation Component

Represents the unpredictable fluctuations that are inherent in a set of data, often modeled as random error in statistical analyses.