When a new floral shop opened a record of the daily number o

When a new floral shop opened, a record of the daily number of phone calls was kept. The records showed the following data. image Let the number of calls be the random variable X. Use this summary to determine the probability that the number of phone calls is 5 per day.

Solution

frequency 2 1 8 3 14 1
so, mean of phone calls per day = 4.83333...
this is a poisson distribution problem! with mean = 4.83333..
X = the number of calls per day
P [ X = 5 ] = e ^ ( - 4.83333 ) * ( 4.83333 ^ 5 ) / 5! = 0.17497...