In: Statistics and Probability
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
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.