Question

Use the Data Below to answer the following question below

0
0
2
0
5
3
1
12
0
0
0
1
6
0
1
1
2
8
1
3
1
6
2
4
0
16
17
0
8
0
3
0
0
1
2
5
2
0
2
1
5
0
7
0
1
0
0
1
0
0
3
1
9
4
1
3
0
1
1
1
0
7
1
9
2
0
1
1
1
1
7
2
7
1
2

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1. (a) What type of data is this? That is, is it: Qualitative Nominal, Qualitative Ordinal, Quantitative Discrete, or Quantitative Continuous data?
   (b) Explain WHY you say it is that type.
2. What is the probability P(x > 2)? Express the probability as a decimal, rounded to three places.
3. Find P(x is no more than 12). Express the probability as a decimal, rounded to three places.
4. Does the probability in Question 3 indicate that it was an unusual event? Look up the concept of an unusual event in the textbook, if necessary, before answering! Explain your answer in a full sentence. Be sure you are specific about the value of the probability in Question 3 in comparison to the criterion for an unusual event.
5. In your opinion, does the store need more checkout lanes? Cite specific probabilities from your distribution to justify your written answer; do not just answer yes/no.

Answer 1

x	f	p(x=x)	P(x<=x)
0.000	22.000	0.293	0.293
1.000	21.000	0.280	0.573
2.000	9.000	0.120	0.693
3.000	5.000	0.067	0.760
4.000	2.000	0.027	0.787
5.000	3.000	0.040	0.827
6.000	2.000	0.027	0.853
7.000	4.000	0.053	0.907
8.000	2.000	0.027	0.933
9.000	2.000	0.027	0.960
12.000	1.000	0.013	0.973
16.000	1.000	0.013	0.987
17.000	1.000	0.013	1.000
	75	1

a) the data is quantitative discrete.

b) quantitative continuous data includes any value between two real value. Since there is no value between 9 and 12, the data is not continuous.

It is definiety not qualitative ordinal data as data is not following a order. therefor the quantitative discrete seems the most viable option.

c) P(x>2) = 1- P(x<=2) = 1- 0.693 = 0.307

P(x<=12) = 0.973

Unusual event is event whose probability is less than 0.05. Since probability of number not more than 12 is 97.3% thus any event occur with number greater than 12 are unusual events as their probabiltity is less than 0.05. Therefore 16 and 17 are ususual events.

More checkout lanes ???? this is not clear.