Question

the following table displays a frequency distribution for the number of crew members on each shuttle mission over a 10 - year period. let x denote the crew size on a randomly selected shuttle from this time period.

Explanation:

Step1: Identify possible values of \(X\)

From the table, the crew - size values are \(2,3,4,5,6\). So the possible values of the random variable \(X\) (where \(X\) represents the crew size) are the distinct crew - size numbers in the table.

Step2: Represent the event using random - variable notation

The event that the shuttle mission obtained has a crew size of \(5\) is written as \(X = 5\) (since \(X\) is the random variable representing crew size).

Answer:

a. \(2,3,4,5,6\)
b. \(X = 5\)