Is the number of light bulbs that burn out in the next year in a room with 19 bulbs a discrete random variable, continuous random variable, or not a random variable?

Discrete

Step-by-step explanation:

Given that we have to find the number of light bulbs that burn out in the next year in a room with 19 bulbs

WE see that if X is the random variable then X can take values as

0,1,2 ... 19

0 is one extreme where no bulb burns out and 19 where all bulbs burn out.

We find that this random variable can never take values between two integers.

In other words these are countable and hence discrete.

discrete random variable

Step-by-step explanation:

A variable which will be countable and which have exact value example 1,2,3,4,5 ... etc. is known as discrete variable.

A variable which does not have exact value it lies in certain interval example age group, weight, eye color etc. are called random variable.

when we look at the statement given we can clearly see that it state that in next year 19 bulbs will be burn out which is a discrete variable we are certain that 19 bulb will be burn out.