Question

In: Statistics and Probability

The following descriptions all relate to a local hair salon. (a) Which of these are not...

The following descriptions all relate to a local hair salon.

(a) Which of these are not random variables?

(i) The amount of hair on the floor after each client

(ii) The time between arrivals of clients

(iii) The type of hairstyle chosen by each client

(iv) The age group of each client (infant/school-aged/adult/senior)

(v) The total cost of the salon service for each client

(b) Explain your answer briefly.

Solutions

Expert Solution

A random variable is a numerical description of the outcome of a statistical experiment.

A random variable that may assume only a finite number or an infinite sequence ,one that may assume any value in some interval on the real number line is said to be continuous.

(i) The amount of hair on the floor after each client

The amount of hair is depends on the client and which is not measurable so we can say that the amount of hair on floor after each client is random variable.

(ii) The time between arrivals of clients

The time is obesrving and we can record the and use poisson distribution to find the next values and mean.

So this is not a random variable.

(iii) The type of hairstyle chosen by each client

The type of hairstyle is depends on client, it is varry by client to client and it is not fix or measurable.

so we can say that the type of hairstyle chosen by each client is random variable.

(iv) The age group of each client (infant/school-aged/adult/senior)

Age can we measure as client is infant/school-aged/adult/senior so this can be measurable.

So this is not a random variable.

(v) The total cost of the salon service for each client

The total cost depends on client that what type of hairstyle have.

so it is also measure beacuse cost is fix for each hairstyle whic we can measure it.

So this is not a random variable.

orchestra answered 1 year ago
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