contestada

The manager at Mugg & Bean has been recording the behaviour of their customers with regards to coffee and muffins. The manager established that that the probability that a customer will buy a cup of coffee is 0.8. A customer buys a muffin 50% of the time when a cup of coffee is bought. but only 10% of the time when a cup of coffee is not bought. What is the probability of buying a muffin, when first buying a cup of coffee?

Respuesta :

Solution:

Let M represent the muffin,

let C represent the coffee.

Given that the probability that a customer will buy a cup of coffee is 0.8, this implies that

[tex]Pr(C)=0.8[/tex]

A customer buys a muffin 50% of the time when a cup of coffee is bought. This implies that

[tex]Pr(M|C)=\frac{50}{100}=\frac{1}{2}[/tex]

10% of the time when a cup of coffee is not bought. This implies that

[tex]Pr(M|C^{\prime})=\frac{10}{100}=\frac{1}{10}[/tex]

The probability of buying a muffin,when first buying a cup of coffee is evaluated as

[tex]undefined[/tex]

Otras preguntas