Question

A large online company determines that there is a 5% chance that any given bill from...

A large online company determines that there is a 5% chance that any given bill from an online order will have an error (independent of other bills). Suppose the company randomly selects 60 bills to observe the number of bills with an error. Create a graph on Excel to show the probability distribution associated with the possible number of bills with errors. Label the graph.

Math   Statistics-And-Probability   
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Answer #1

Let X is a random variable shows the number of binomial distribution with parameters n=60 and p=0.05.

The pdf of X is

Following table shows the pdf;

X P(X=x)
0 0.046069799
1 0.145483576
2 0.225882394
3 0.229845243
4 0.172383932
5 0.101615792
6 0.049025163
7 0.019904953
8 0.006940543
9 0.002110574
10 0.000566523
11 0.000135532
12 2.91274E-05
13 5.66039E-06
14 1.00014E-06
15 1.61427E-07
16 2.38954E-08
17 3.2551E-09
18 4.09267E-10
19 4.76156E-11
20 5.13747E-12
21 5.15035E-13
22 4.80535E-14
23 4.17856E-15
24 3.3905E-16
25 2.56964E-17

Following is the graph:

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