Question

Which of the following is a continuous random variable?
1.Number of cricket bats used by Mohan in one year
2.Number of fruits sold by a seller in one month
3.Waiting time of a passenger for a bus
4.Number of houses in a village

Answer 1

Given : 1.Number of cricket bats used by Mohan in one year

2.Number of fruits sold by a seller in one month

3.Waiting time of a passenger for a bus

4.Number of houses in a village

To Find : continuous random variable

Solution:

Discrete random variable has a countable number of possible values

continuous random variable data can take infinitely many values.

Number of cricket bats used by Mohan in one year

Number of Bats can be whole number only

Hence not  continuous random variable

Number of fruits sold by a seller in one month

fruits sold can be whole number only

Hence not  continuous random variable

Waiting time of a passenger for a bus

continuous random variable  as time can be any part / fraction

Number of houses in a village

houses can be whole number only

Hence not  continuous random variable  

Waiting time of a passenger for a bus is  continuous random variable  

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