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During a Single Day at Radio Station WMZH, the Probability That a Particular Song Is Played Is 23% . What Is the Probability That This

Problemas

During a single day at radio station WMZH, the probability that a particular song is played is 23% . What is the probability that this song will be played on exactly 2 days out of 7 days ? Round your answer to the nearest thousandth.

Roztwór

Catalina maestro · Tutor durante 5 años
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Respuesta

To solve this problem, we can use the binomial probability formula. The binomial probability formula is given by: where:- is the probability of getting exactly successes in trials- is the number of ways to choose successes from trials- is the probability of success in a single trial- is the probability of failure in a single trialIn this case, we want to find the probability that the song will be played on exactly 2 days out of 7 days. So, we have:- (the number of days)- (the number of days the song is played)- (the probability that the song is played on a single day)Plugging these values into the binomial probability formula, we get: Calculating this expression, we get: Therefore, the probability that the song will be played on exactly 2 days out of 7 days is approximately 0.341, rounded to the nearest thousandth.