Question

Note: Use SPSS to solve the following questions. For every question Write the SPSS command and then copy and paste the output page here (or in some cases the screenshot of the data view that shows the output).

Can I Know also what is the sample file (in SPSS) that we work on?

Question :

If the probability of finding a defective product of a company’s total products is given as 1 out of hundred, with a sample size of 200 chosen, Assuming Poisson distribution, what is the probability that

1. At least 2 are defective
2. At most 3 are defective
3. More than 2 but less than 4 items are defective
4. Exactly 3 are defective.

Answer 1

Answer:-

The output is:

	2	mean rate of occurrence
		cumulative
X	P(X)	probability
0	0.1353	0.1353
1	0.2707	0.4060
2	0.2707	0.6767
3	0.1804	0.8571
4	0.0902	0.9473
5	0.0361	0.9834
6	0.0120	0.9955
7	0.0034	0.9989
8	0.0009	0.9998
9	0.0002	1.0000
10	0.0000	1.0000
11	0.0000	1.0000
12	0.0000	1.0000
13	0.0000	1.0000
14	0.0000	1.0000
	1.0000

2.000	expected value
	2.000	variance
	1.414	standard deviation

(i) Probability = 0.5940

(ii) Probability = 0.8571

(iii) Probability = 0.1804

(iv) Probability = 0.1804

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