Question

A hair salon completed a survey of customers about satisfaction with service and type of customer. A walk-in customer is one who has seen no ads and not been referred. The other customers either saw a TV ad or were referred to the salon. The results are in the following table. Assume the table represents the entire population of customers surveyed. Find the probability that a customer was:

	Walk – in	Tv ad	reffered
Not satisfied	12	9	3
Neutral	18	15	27
satisfied	31	28	59
Very satisfied	29	31	48

Satisfied/very satisfied, given he or she was referred

Using your answers in the previous questions, does customer satisfaction depend on whether or not the customer was referred? Explain your answer.v

Answer 1

given that

total number of observations=N=310

let S means satisfied

VS means very satisfied

R mean referred

so

n(S and R)=59

n(VS and R)=48

n(R)=137

we have to find P(S|R)

now

we have to find P(VS|R) now

since here we see that probability of Satisfied given that referred is more than that probability of very satisfied

means there is a difference in probabilities of the level of satisfaction given that it referred hence satisfaction is depend on wheather customer is referred or not.