In an experiment, a deck of cards containing different colored cards is shuffled. Four cards are randomly selected and the number of green cards selected is recorded. One hundred twenty trials of the experiment are run.

The table shows the frequency of 0, 1, 2, 3, or 4 green cards occurring in the trials.

Number of green cards 0 1 2 3 4
Frequency 12 18 54 24 12
Create a probability distribution for the discrete variable.

Drag the sliders on the horizontal axis to represent the probability distribution.

We can calculate probability distributions according to the number of occurrence of green cards. Probabilities are:

[tex]P(x=0)= \frac{12}{120}= \frac{1}{10}=0.1 [/tex]
[tex]P(x=1)= \frac{18}{120} = \frac{3}{20}=0.15 [/tex]
[tex]P(x=2)= \frac{54}{120}= \frac{9}{20}=0.45 [/tex]
[tex]P(x=3)= \frac{24}{120}= \frac{1}{5}=0.2 [/tex]
[tex]P(x=4)= \frac{12}{120}= \frac{1}{10}=0.1 [/tex]

When we plot these results, we get this following graph

Answer Link

kapoorprachi783 kapoorprachi783 · Answer 2 · 2022-07-02T10:41:29+02:00

Probability distributions according to the number of occurrences of green cards. Probabilities are:

P(x=0) = 12/120 = 1/10 = 0.1

P(x=1) = 18 /120 = 3/20 = 0.15

P(x=2) = 54 / 120 = 9/20 = 0.45

P( x= 3) = 24 / 120 = 0.2

P ( x=4) = 12 / 120 = 1 /10 = 0.1

What is probability?

Probability is absolutely how probably something is to take place. whenever we're unsure about the outcome of an occasion, we can speak approximately the chances of certain outcomes—how possibly they're. The evaluation of occasions governed by probability is referred to as facts.

Learn more about Probability here: https://brainly.com/question/251701

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