for a few weeks, a music producer kept track of newly released songs on a music streaming website. she…

for a few weeks, a music producer kept track of newly released songs on a music streaming website. she recorded the music genre and number of times the song was played on its release date.\n| |0 - 500 plays|501 - 1,000 plays|\n|--|--|--|\n|country|7|7|\n|rock|3|2|\nwhat is the probability that a randomly selected song had 501 - 1,000 plays given that the song was country?\nsimplify any fractions.

for a few weeks, a music producer kept track of newly released songs on a music streaming website. she recorded the music genre and number of times the song was played on its release date.\n| |0 - 500 plays|501 - 1,000 plays|\n|--|--|--|\n|country|7|7|\n|rock|3|2|\nwhat is the probability that a randomly selected song had 501 - 1,000 plays given that the song was country?\nsimplify any fractions.

Answer

Explanation:

Step1: Identify relevant numbers

Number of country - songs with 501 - 1000 plays is 7, number of country - songs is 7 + 7=14.

Step2: Use conditional - probability formula

The formula for conditional probability (P(A|B)=\frac{P(A\cap B)}{P(B)}). In terms of counts, if (A) is the event of having 501 - 1000 plays and (B) is the event of being a country song, then (P(A|B)=\frac{\text{Number of country songs with 501 - 1000 plays}}{\text{Total number of country songs}}). So (P=\frac{7}{14}).

Step3: Simplify the fraction

(\frac{7}{14}=\frac{1}{2})

Answer:

(\frac{1}{2})