Question

Jugui is a cleaning solution. Jugui Industries has launched a new exposure (ad) campaign. The company’s...

Jugui is a cleaning solution. Jugui Industries has launched a new exposure (ad) campaign. The company’s research department believes that 40% of the customers who currently do not use Jugui will buy it the next time they need a cleaning solution. Other researchers studied customer loyalty associated with Jugui. These studies found that 80% of the customers who uses use Jugui will by it again the next time they need a cleaning solution.

Write the data provided in probability form and write the complements.

**P(next purchase is Jugui | current purchase is Jugui) = ____

**P(next purchase is not Jugui | current purchase is Jugui) = ___

**P(next purchase is Jugui | current purchase is not Jugui) = ___

**P(next purchase is not Jugui | current purchase is not Jugui) =___

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Answer #1

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We have been asked conditional probability but we can answer these questions directly. Also, we have used the complement method wherever required.

**P(next purchase is Jugui | current purchase is Jugui) = .80

**P(next purchase is not Jugui | current purchase is Jugui) = 1-P(next purchase is Jugui | current purchase is Jugui) =

= 1-.80 = .20

**P(next purchase is Jugui | current purchase is not Jugui) = 0.40

**P(next purchase is not Jugui | current purchase is not Jugui) = 1-P(next purchase is Jugui | current purchase is Jugui) =  1 - .40 = .60

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