An experiment in ol es picking a card from a selection of cards numbered 5,10, and 15. In equation form, what is the probability model for this experiment? List the values of X in ascending order.
The probability model for this experiment can be represented by the following equation:
P(X = 5) = 1/3
P(X = 10) = 1/3
P(X = 15) = 1/3
The values of X in ascending order would be:
X = 5, 10, 15
To create a probability model for this experiment, we first need to determine the sample space, which is the set of all possible outcomes. In this case, the possible outcomes are picking a card numbered 5, 10, or 15.
Let X represent the value of the card selected. The probability model can be represented as follows:
P(X = 5) = probability of picking card number 5
P(X = 10) = probability of picking card number 10
P(X = 15) = probability of picking card number 15
Since there are only three options, the sum of these probabilities must equal 1. Therefore, we can write:
P(X = 5) + P(X = 10) + P(X = 15) = 1
The values of X, listed in ascending order, are:
X = 5, X = 10, X = 15