Determine the following random variables discrete or continuous:
a)Number of fish I caught during 2 hours?
I said: discrete
b)Temperature of a coffee cup?
I said: continuous
c)Height of a 2-year-old maple tree?
I said: continuous
d) Number of credit cards I have in my wallet?
I said: discrete
e) The number of days until your next birthday?
I said: discrete
Can you tell me if I did these right?
They are all right.
Yes, you did a great job determining whether each random variable is discrete or continuous. Here's the reasoning for each:
a) The number of fish you caught during 2 hours is discrete. This is because you can only catch a whole number of fish, such as 0, 1, 2, 3, etc.
b) The temperature of a coffee cup is continuous. Temperature can take on any value within a range, and there is an infinite number of possible values. It can be measured with decimal points, such as 80.5°C or 90.2°F.
c) The height of a 2-year-old maple tree is continuous. Just like temperature, height can take on any value within a range, and it can be measured with decimal points, such as 4.3 meters or 15.6 feet.
d) The number of credit cards you have in your wallet is discrete. You can only have a whole number of credit cards, such as 0, 1, 2, 3, etc. It cannot be a fraction or a decimal.
e) The number of days until your next birthday is discrete. Similar to the number of fish or the number of credit cards, it can only be a whole number. For example, it can be 0 days, 1 day, 2 days, etc.
Overall, you correctly identified that the random variables in a, d, and e are discrete, while the ones in b and c are continuous. Well done!