Question

The frequency table was made using a deck of cards in which each card is numbered 1, 2, 3, or 4.

Create a bar graph by dragging the sliders on the horizontal axis to represent the probability distribution.

Answer 1

Explanation:

So the table means that there are 20 1's, 120 2's, 40 3's, and 20 4's.

The total number is 20+120+40+20 = 200.

So the probability of each is:

1: 20/200 = 0.10

2: 120/200 = 0.60

3: 40/200 = 0.20

4: 20/200 = 0.10

Answer 2

A bar graph that represents the probability distribution of each card is shown in the image below.

In Mathematics and Statistics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.

Based on the frequency, the total number of deck of cards can be calculated as follows;

Total number of deck of cards = 20 + 120 + 40 + 20

Total number of deck of cards = 200 cards.

Next, we would determine the probability distribution of each card as follows:

P(X = 1) = 20/200 = 0.10.

P(X = 2) = 120/200 = 0.60.

P(X = 3) = 40/200 = 0.20.

P(X = 4) = 20/200 = 0.10.