Answer:
[tex]\begin{array}{ccccc}\text{January}&\text{February}&\text{March}&\text{April}&\text{May}\\\dfrac{3}{20}&\dfrac{5}{20}&\dfrac{2}{20}&\dfrac{8}{20}&\dfrac{2}{20}\end{array}[/tex]
Step-by-step explanation:
During 5 months Laura wrote
3+5+2+8+2=20 songs.
1. The probability that the song was written in January is [tex]\frac{3}{20}.[/tex]
2. The probability that the song was written in February is [tex]\frac{5}{20}.[/tex]
3. The probability that the song was written in March is [tex]\frac{2}{20}.[/tex]
4. The probability that the song was written in April is [tex]\frac{8}{20}.[/tex]
5. 1. The probability that the song was written in May is [tex]\frac{2}{20}.[/tex]
The probabolity distribution table:
[tex]\begin{array}{ccccc}\text{January}&\text{February}&\text{March}&\text{April}&\text{May}\\\dfrac{3}{20}&\dfrac{5}{20}&\dfrac{2}{20}&\dfrac{8}{20}&\dfrac{2}{20}\end{array}[/tex]
