Final answer:
To draw the continuous probability distribution of a function like f(x) = 1/10 in the interval 0≤x≤10, one would plot a horizontal line at the height of 1/10, which represents a uniform distribution.
Step-by-step explanation:
To draw continuous probability distribution for the function f(x), assuming f(x) represents a probability density function, you would graph the function on a coordinate plane over the interval from 0 to 10 since that's where the function is defined.
Since there is no function provided in the question, let's use the function f(x) = 1/10 as an example for a uniform distribution.
This is a common type of probability distribution where each outcome in a range is equally likely.
Here is a step-by-step process:
Draw the x-axis from 0 to 10 and a vertical y-axis for the probabilities.
Since f(x) = 1/10, this is a horizontal line at the height of 1/10 on the graph, because each value of x in the range will have the same probability.
The area under this horizontal line over the interval from 0 to 10 should equal 1, which is consistent with the definition of a probability density function, where the total area under the curve represents the total probability of all outcomes.
In general, probability distributions can take many forms, like normal distribution, binomial distribution, etc., but in this case of f(x) = 1/10 across the interval 0≤x≤10, it is a uniform distribution.