is the number of light bulbs that burn out in the next week

is the number of light bulbs that burn out in the next week in a room with 16 bulbs discrete or continous

is the number of textbook authors now sitting at a computer discrete or continous

is the number of points scored during a basketball game discrete or continous

is the number of free throw attempts before the first shot is made discrete or continous

Solution

Number of light bulbs can only take countable point values like 0,1,2,3... so it is discrete. We call it continuous if a variable can take any value inside an interval.

number of text books is also discrete

number of points scored is also discrete by above logic.

number of free throw attempts is also discrete