Question

(PLEASE HELP)

Kelsey plays a video game where enemies sometimes drop objects when they are defeated. Kelsey defeated a certain enemy 80 times and recorded how many objects the enemy dropped each time:

Fill in the blanks to complete the probability distribution.
Do not round your answers.

Objects dropped: 0 1 2 3
Frequency: X 18 6 2
Probability: 0.675 Y 0.075 0.025

Answer 1

`x = 54`

`y = 0.225`

Detailed steps:

We know that the number of total events is

`n = 80`

and that the probability of a certain event E (for example, "the enemy drops two objects") is computed as the number of times event E occurred, divided by the total of events N=80.

Then:

`0.675 = (x)/(80)`

`x = 80 * 0.675 = 54`

and

`y = (18)/(80) = 0.225`

We can verify by checking that adding all probabilities sums up to one.