Question

(type integers or decimals. do not round.)b. use random - variable notation to describe the events that y takes on the value 5, a value less than 5, and a value of at least 5.the event that y takes on the value 5 can be represented as {}

Explanation:

Step1: Understand random - variable notation

In probability, if \(Y\) is a random variable, the event that \(Y\) takes a particular value \(y\) is denoted as \(\{Y = y\}\).

Step2: Denote the event \(Y = 5\)

For the event that \(Y\) takes on the value \(5\), using the random - variable notation, we write it as \(\{Y = 5\}\).

Step3: Denote the event \(Y\lt5\)

The event that \(Y\) takes on a value less than \(5\) is denoted as \(\{Y\lt5\}\).

Step4: Denote the event \(Y\geq5\)

The event that \(Y\) takes on a value of at least \(5\) (i.e., \(Y = 5\) or \(Y>5\)) is denoted as \(\{Y\geq5\}\).

Answer:

The event that \(Y\) takes on the value \(5\): \(\{Y = 5\}\)
The event that \(Y\) takes on a value less than \(5\): \(\{Y\lt5\}\)
The event that \(Y\) takes on a value of at least \(5\): \(\{Y\geq5\}\)