Given:
A biased dice is thrown 300 times.
Table of probabilities of each score.
To find:
The expected number of times the score will be odd.
Solution:
Odd numbers on the dice are 1, 3, 5. The sum of their probability is
Even numbers on the dice are 2, 4, 6. The sum of their probability is
Now, the expected number of times the score will be odd is
Therefore, the expected number of times the score will be odd is 210.
We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.
We know that a function is linear when its rate of change (slope) is constant.
Let us find slope for each of the given points using slope formula.
Similarly, we will find the slopes using other given coordinates.
Since the rate of change for each set of points is , so the rate of change is constant.
Therefore, the given function is linear.