Over the course of a month, you keep track of how many times the next day's weather forecast is accurate. The forecast is correct 22 times in a month of 30 days. Predict how many days over the course of a year the forecast will be correct.
AND find the experimental probability that the forecast is correct.
the track record: 22 out of 30.
if you watched it for 60 days... how many times would they be right. twice as many days... twice as many times right.
how about 90 days? ... 3 times as many days, so 3 times as many right... 66/90
how about 1 year... thats 365 days. ... 365 is not a multiple of 30. however isnt the ratio of right answers to days what we are looking for:
22/30 = 44/60 = 66/90 ... = 220/300
since there are 365 days:
22/30 = x/365 where x is number of correct forecasts.
Cross-multiply to solve for x.
P = times correct/attempts.
use calculator to find P. it should be between 0 and 1.
damn i hate math!
Divide 365 by Thirty. This give you the number of thirty day chunks in a year. IF you get 22 right for every 30 day chunk then multiply the number of chunks by 22. It's like 260 something
ya you're right..
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