Question

In an experiment, a number cube is rolled 4 times. The number of times a 5 shows is recorded. Sixty trials of the experiment are run.
The table shows the frequency of any number of 5s occurring in the trials.
Number of 5s
0
1
2
3
4
Frequency
6
9
33
9
3

Create a probability distribution for the discrete variable.
Drag the sliders on the horizontal axis to represent the probability distribution.

Answer 1

Using the probability concept, the distribution is given as follows:

• P(X = 0) = 0.1.

• P(X = 1) = 0.15.

• P(X = 2) = 0.55.

• P(X = 3) = 0.15.

• P(X = 4) = 0.05.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The distribution gives the probability of each outcome.

In this problem, there were 60 trials, hence the distribution is given as follows:

• P(X = 0) = 6/60 = 1/10 = 0.1.

• P(X = 1) = 9/60 = 3/20 = 0.15.

• P(X = 2) = 33/60 = 11/20 = 0.55.

• P(X = 3) = 9/60 = 3/20 = 0.15.

• P(X = 4) = 3/60 = 1/20 = 0.05.

More can be learned about probabilities at brainly.com/question/143982877

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