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
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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.