Question

During a single day at radio station WMZH, the probability that a particular song is played is 36%. What is the probability that this song will be played on exactaly 1 days out of 5days

Answer 1

To find the probability that the song will be played exactly 1 day out of 5 days, use the binomial probability formula to calculate the probability of x successes. The probability of the song being played exactly 1 day out of 5 days is approximately 0.3545 or 35.45%.

Step-by-step explanation:

To find the probability that the song will be played exactly 1 day out of 5 days, we need to use the binomial probability formula:

P(x) = C(n,x) * px * (1-p)n-x

Where:

• P(x) is the probability of x successes (in this case, 1 day)
• C(n,x) is the number of combinations of n items taken x at a time
• p is the probability of success (in this case, the probability of the song being played, which is 0.36)
• n is the number of trials (in this case, 5 days)

Plugging in the values, we get:

P(x=1) = C(5,1) * 0.361 * (1-0.36)5-1

Simplifying the formula, we find that the probability of the song being played exactly 1 day out of 5 days is approximately 0.3545 or 35.45%.