Phone Call's.. Theauthor found that in one month (30 days), hemade 47 cell phonecalls, which were distributed as follows: no calls were made on 17days, 1 call was made on each of 7 days, 3 calls were made on eachof two days, 4 calls were made on each of two days, 12 calls weremade on one day, and 14 calls were made on one day. a) Find the mean number of calls perday.
b) Use the poisson distribution tofind the probability of no calls on a day, and compare the resultsto the actual relative frequency for the number of days with nocalls.
c) Use the Poisson distribution tofind the probability of one call on a day, and compare results tothe actual relative frequency for the number of days with onecall.
d) Based on the preceding results, does it appear that the author's cell phone calls made in a day fitthe poisson distribution reasonably well? Why or whynot?