The data in the table below, which report the counts of the number of alpha particles in the 2612 different intervals.
|
Num
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
>12
|
total
|
|
Freq
|
57
|
203
|
383
|
525
|
532
|
408
|
273
|
139
|
49
|
27
|
10
|
4
|
2
|
0
|
2612
|
It was suggested that the number of particles in a randomly selected interval might follow a Poisson distribution. Assuming a Poisson distribution to be an appropriate model for the data, use two methods to find an approximate 95% confidence interval for the mean of this distribution.