Which probability distribution table corresponds with this frequency distribution table

Answer:
A.
[tex]\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}[/tex]
Step-by-step explanation:
First find the sum
[tex]\sum f=4+6+1+4+5=20.[/tex]
Now, find the probabilities:
Hence, the frequency distribution table is
[tex]\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}[/tex]
Using the probability concept, it is found that the following probability table corresponds to the frequency table:
x 1 2 3 4 5
p 0.2 0.3 0.05 0.2 0.5
Which is the first table.
In the frequency table:
The probability of each outcome is:
[tex]p(1) = \frac{4}{20} = 0.2[/tex]
[tex]p(2) = \frac{6}{20} = 0.3[/tex]
[tex]p(3) = \frac{1}{20} = 0.05[/tex]
[tex]p(4) = \frac{4}{20} = 0.2[/tex]
[tex]p(5) = \frac{5}{20} = 0.25[/tex]
Then, the corresponding table is:
x 1 2 3 4 5
p 0.2 0.3 0.05 0.2 0.5
Which is the first table.
A similar problem is given at https://brainly.com/question/23156292