Which probability distribution table reflects the data shown in the bar graph?
(graph at the bottom)

X P

Red 0.3

Yellow 0.3

Green 0.3

Blue 0.3

Grey 0.3

X P

Red 0.1

Yellow 0.2

Green 0.3

Blue 0.4

Grey 0.5

X P

Red 0.2

Yellow 0.2

Green 0.2

Blue 0.2

Grey 0.2

X P

Red 0.5

Yellow 0.4

Green 0.3

Blue 0.2

Grey 0.1

Question

13-03-2019
Mathematics

contestada

Which probability distribution table reflects the data shown in the bar graph?
(graph at the bottom)

X P

Red 0.3

Yellow 0.3

Green 0.3

Blue 0.3

Grey 0.3

X P

Red 0.1

Yellow 0.2

Green 0.3

Blue 0.4

Grey 0.5

X P

Red 0.2

Yellow 0.2

Green 0.2

Blue 0.2

Grey 0.2

X P

Red 0.5

Yellow 0.4

Green 0.3

Blue 0.2

Grey 0.1

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AlonsoDehner AlonsoDehner · Answer 1 · 2019-05-12T17:00:21+02:00

Answer:

Step-by-step explanation:

A probability distribution is one which gives various values of a random variable X along with assigned probabilities

The conditions for probabilities is each probability should be positive andlying between 0 and 1. Also total of the probabilities should equal 1.

COmparing this with the given tables we find that I one total probability

=1.5 hence cannot be a prob distribution

Second distribution has unequal probabilities between 0 and 1 but total is 1.4 hence cannot be a prob distn.

III one has all probabilities equal to 0.2 a value between 0 and 1 and total prob =1 This tallies with the graph with equal probabilities. Hence option III is the right answer

we find that table 4 total probability

=1.5 hence cannot be a prob distribution

So answer is option 3

MrRoyal MrRoyal · Answer 2 · 2022-01-21T15:07:10+01:00

Probabilities are used to determine the chances of events

The probability distribution table that reflects the data in the bar graph is table (c)

From the bar graph, we have the following highlights

There are 5 data elements in the bar graph
Each of the bars have the same length

So, the probability of each bar is:

[tex]p = \frac 15[/tex]

[tex]p = 0.2[/tex]

Hence, the probability distribution table that reflects the data in the bar graph is table (c)