Which of the following variables are best thought of as cont

Which of the following variables are best thought of as continuous, which discrete?

(a) The number of tickets purchased by a caller on a Rose Bowl ticket hotline

Discrete or Continuous

Discrete or Continuous

(c) The number of damaged chromosomes on a petri dish following irradiation.

Discrete or Continuous

(d) The temperature of a burrito served to a customer in a local Mexican restaurant.

Discrete or Continuous

Solution

Answer :

Continuous Random Variable: Continuous Random Variables can take any value in an interval.

They are used to model physical characteristics such as time, length, position,temperature etc.

(a) The number of tickets purchased by a caller on a Rose Bowl ticket hotline

The number of tickrts is an integer and takes the values 0,1,2,3,...n   which is descrete variable

(b) In a reaction time study involving 12 participants, the number of participants whose average time is between 400 and 600 milliseconds.

Discrete variable ( as it indicates the number of participants )

(c) The number of damaged chromosomes on a petri dish following irradiation.

      Descrete variable ( as it indicates the chromosomes )

(d) The temperature of a burrito served to a customer in a local Mexican restaurant.

     Continuous variable