(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

Respuesta :

Answer:

[tex]x = 54[/tex]

[tex]y = 0.225[/tex]

Detailed steps:

We know that the number of total events is

[tex]n = 80[/tex]

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:

[tex]0.675 = \frac{x}{80} [/tex]

[tex]x = 80 \times 0.675 = 54[/tex]

and

[tex]y = \frac{18}{80} = 0.225[/tex]

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