Question

averahs.strongmind.com/courses/2724/assignments/490663?module item id-1341383 For the month of January, a local weatherman predicts that of the month Snowfall was recorded daily in the following table, and the data was reviewed in February there wil be a 3.33% chance ofsrew on any given day Day of the month Snow Day of the month Snow? 17 18 19 20 21 24 25 26 27 10 12 13 14 29 30 no 16 nan's theoretical model accurate? Why or why not? Was the weatherm Select the answer that is completely correct Yes, the weathermen gave an accurate theoretice model. The experimenty probablity for snowfall in January is which agrees with the weatherman's prediction No, the westherman geve a popr cheore:ical model. The experimental probebility for srowtal in January is 3r, whicn is lower tnan essimaced enusry s ii. wihicn is higher than est mated Yes, the weacher men grre ฮn accurate tnteret cat modet, The experin ente' proorblity for 2No, the westherman geve e poor theoresical mode. The expermental probablity for snowfall in

Answer 1

Solution

Back-up Theory

Theoretical probability = Number of favourable outcomes/total number of all possible outcomes.

Empirical probability = Number of times an event occurs/total number of trials.

For sufficiently large n, first = second.

Now to work out the solution,

In the given scenario, total number of trials = 31 [i.e., number of days for which data is available.]

Number of times the event occurred = 10 [‘yes’ days]

So, by the second definition, P(snow fall) = 10/31 = 0.3226.

This is very close to the theoretical model answer of 0.3333.

Hence, first option Answer

DONE