Jannah was tasked to record the number of calls that their company received from December 1, 2021 until January 28, 2021 around the time interval 10 am-10 pm. She was told to determine the number of...

Jannah was tasked to record the number of calls that their company received from December 1, 2021 until January 28, 2021 around the time interval 10 am-10 pm. She was told to determine the number of calls received for each date. It has been found out that the total number of calls that their company received from December 1, 2021 until January 28, 2021 is 5000 calls. , a)Estimate the rate of calls received per day by dividing the total number of calls received to the number of observation days. b)By employing the Poisson distribution with the estimated rate in (a) , in a given day compute the probabilities: a.Exactly 5 calls are received b.At most 10 calls are received c.No calls are received