Question

In: Statistics and Probability

The formula =60*RAND() will output a random number between 0 and 60. This can be used...

The formula =60*RAND() will output a random number between 0 and 60. This can be used to simulate the time someone arrives at an airport between 1 and 2 p.m. If =60*RAND() returns the value 23.456 that would indicate a person arrived at about 1:23 p.m. (1:23:27 p.m. if you want to be fussy.) Set up two cells, each with =60*RAND() to model a situation where two people arrive at an airport between 1 and 2 p.m. Set up a third cell for the difference between the two times. Then generate a data table and pivot table to answer the question: What is the probability that the two people will arrive within ten minutes of each other? (Hint: Group the data into ten minute intervals once you have the Pivot Table.) Using excel please

Solutions

Expert Solution

Hereby i am attaching the excelsheet snapshot with data set of the following question

T 1 T2 T1 - T2
51.46269 35.99522 15.46747
23.28585 41.70374 18.41789
19.31619 12.18999 7.126193
30.59051 13.21523 17.37528
51.55914 51.16681 0.392322
22.78649 11.80149 10.985
38.36868 44.3643 5.995613
44.6639 56.26554 11.60164
33.5819 34.07576 0.493861
12.54439 42.43062 29.88623
15.64586 39.94793 24.30207
46.53937 7.825168 38.7142
4.694335 24.71859 20.02425
40.93788 44.72501 3.787138
40.28396 37.87331 2.410655
41.13632 53.13396 11.99764
7.3757 37.48234 30.10664
44.66185 23.87141 20.79044
5.678209 45.30949 39.63128
50.41049 45.72867 4.681823
48.47892 45.83276 2.646161
47.30645 33.84479 13.46166
17.69676 41.18352 23.48676
57.58823 4.252433 53.3358
6.23457 22.70804 16.47347
21.3841 52.70801 31.32392
8.145896 55.90411 47.75821
58.31042 11.88568 46.42474
31.49214 31.30052 0.191626
40.38328 3.368676 37.0146
28.6603 54.79702 26.13673
52.28867 30.34152 21.94716
36.96089 25.13298 11.82792
57.5714 26.99977 30.57163
56.48474 35.50724 20.9775
8.26686 28.50036 20.2335
35.00333 28.03206 6.971266
6.009836 25.77811 19.76828
12.67952 59.23034 46.55082
23.28385 54.44632 31.16247
31.7479 14.04238 17.70552
24.21248 47.11771 22.90523
8.202018 4.766496 3.435522
58.77266 15.38829 43.38437
18.7771 19.91173 1.134631
14.22106 45.26348 31.04242
10.98824 3.05703 7.93121
39.9501 1.723891 38.22621
46.58512 54.80474 8.219622
19.50125 4.332232 15.16902
48.11477 50.35204 2.237264
39.21601 40.48901 1.273001
44.82265 22.7553 22.06735
56.89728 24.4813 32.41597
22.07486 55.73727 33.66241
55.36229 27.69227 27.67002
35.16919 44.30771 9.138517
58.09802 56.60177 1.496242
13.17939 3.265482 9.91391
45.84577 47.46095 1.615178

I have generated a data table and pivot table

Now calculating probability that the two people will arrive within two minutes of each other = 20/60 = 1/3.


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