Interactive practice questions
Danielle records her team's winning or losing margins over $10$10 games of the hockey season, with winning margins recorded as positive values and losing margins as negative values. The margins were recorded below.
| $X$X | $-1$−1 | $4$4 | $2$2 | $3$3 | $1$1 | $2$2 | $4$4 | $-1$−1 | $2$2 | $1$1 |
|---|
Let $X$X be the margin of a given game. Summarise this data in a frequency table.
| $X$X | Frequency |
|---|---|
| $-1$−1 | $\editable{}$ |
| $1$1 | $\editable{}$ |
| $2$2 | $\editable{}$ |
| $3$3 | $\editable{}$ |
| $4$4 | $\editable{}$ |
Hence, complete this table for the discrete probability distribution for $X$X.
| $x$x | $-1$−1 | $1$1 | $2$2 | $3$3 | $4$4 |
|---|---|---|---|---|---|
| $P\left(X=x\right)$P(X=x) | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
A fair standard die is thrown and the number of dots on the uppermost face is noted.
Let $X$X be the number of dots on the uppermost face.
A fair standard die is rolled and the number of dots on the visible faces (that is, the faces which are not on the ground) is noted.
Let $W$W be the number of dots that can be seen on the visible faces.
A fair standard die is thrown onto the ground and the number of visible odd-numbered faces is noted.
Let $Y$Y be the number of visible odd-numbered faces.