Thread: Mode of binomial, poisson, and hypergeometric distributions

1. Mode of binomial, poisson, and hypergeometric distributions

Hi all! The lab instructions suggest that the mode should be the highest probability of the distribution and I just wanted to make sure I was doing this part right before I turn it in, since I can't find anything to confirm for me in the chapter we're working on. What I THINK is the mode is denoted with <------. Thanks

1. Create binomial distribution, 20 trials, probability .58.
2. Highlight the mode of the distribution.

X Binomial f(x)
0 0.000000
1 0.000001
2 0.000011
3 0.000088
4 0.000514
5 0.002272
6 0.007842
7 0.021660
8 0.048605
9 0.089495
10 0.135948
11 0.170670
12 0.176765 <--------
13 0.150218
14 0.103722
15 0.057294
16 0.024725
17 0.008034
18 0.001849
19 0.000269
20 0.000019

1. Create Poisson distribution. X=0-26, mean 10/day.
2. Identify and highlight the mode of distribution.

X Poisson f(x)
0 0.000045
1 0.000454
2 0.002270
3 0.007567
4 0.018917
5 0.037833
6 0.063055
7 0.090079
8 0.112599
9 0.125110 <----------
10 0.125110 <----------
11 0.113736
12 0.094780
13 0.072908
14 0.052077
15 0.034718
16 0.021699
17 0.012764
18 0.007091
19 0.003732
20 0.001866
21 0.000889
22 0.000404
23 0.000176
24 0.000073
25 0.000029
26 0.000011

5. Create Hypergeometric distribution. Population 24, event count, 8, sample size, 6.
6. Identify the mode and highlight.
X Hypergeometric f(x)
0 0.059497
1 0.259621
2 0.378615 <----------
3 0.232994
4 0.062409
5 0.006657
6 0.000208

2. Re: Mode of binomial, poisson, and hypergeometric distributions

I didn't check that your distributions were accurate but you have identified the mode of each correctly.

3. Re: Mode of binomial, poisson, and hypergeometric distributions

Excellent, that's what I needed to know. Thank you again!