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Statistics for Decision- Making in Business - Maricopa Community ...

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Proportion of Ra<strong>in</strong>y Days<br />

1.2<br />

Proportion of Ra<strong>in</strong>y Days Under July 31,2011 Overnight Conditions<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

0 20 40 60 80 100 120 140<br />

Day with Specific Conditions<br />

Graph: Based on a random simulation <strong>in</strong>volv<strong>in</strong>g the true probability of a 50% chance of precipitation<br />

and what occurs <strong>in</strong> the long-run.<br />

As an <strong>in</strong>terest<strong>in</strong>g note, NWS has sophisticated helium “balloons” that they send up <strong>in</strong>to the air to<br />

measure properties such as w<strong>in</strong>d speed and direction, humidity, and barometric pressure. Then<br />

physics is used based on theories of fluid mechanics to make the prediction.<br />

Among many others that we could beg<strong>in</strong> to state, there is one other major misconception about<br />

probability: that if the probability that it ra<strong>in</strong>s is said to be very small and yet it ra<strong>in</strong>s, then the<br />

probability must be wrong. This is <strong>in</strong>correct. Probability is a measure of uncerta<strong>in</strong>ty. As <strong>in</strong> the<br />

case of meteorology, the predictions are scientific and are based upon prior data. Just because it<br />

has only ra<strong>in</strong>ed, say, 10% of the time on days like today, this is not to say that it won‟t ra<strong>in</strong>. In<br />

fact, it very well might! The moral of the story is that probability talks about likelihood. Only <strong>in</strong><br />

the <strong>in</strong>stance of 0% and 100% probabilities is anyth<strong>in</strong>g guaranteed. If there are situations <strong>in</strong> which<br />

someth<strong>in</strong>g either never happens or always happens, then we‟re probably not concerned about<br />

understand<strong>in</strong>g probabilities.<br />

Probability<br />

Probability is a measure of uncerta<strong>in</strong>ty, typically expressed as a number between 0 (0%) and 1<br />

(100%), that describes how likely it is that an event will or will not occur under a specified set of<br />

<strong>Statistics</strong> <strong>for</strong> <strong>Decision</strong>-<strong>Mak<strong>in</strong>g</strong> <strong>in</strong> Bus<strong>in</strong>ess © Milos Podmanik Page 83

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