An article in The Journal of Data Science [“A Statistical An…

An article in The Journal of Data Science [“A Statistical Analysis of Well Failures in Baltimore County” (2009, Vol. 7, pp. 111-127)] provided the following table of well failures for different geological formation groups in Baltimore County.  Geological Formation Group Wells Failed Wells Not Failed Wells Total Gneiss  170 1,515 1,685 Granite 2 26 28 Loch Raven Schist  443 3,290 3,733 Mafic 14 349 363 Marble 29 280 309 Prettyboy Schist  60 1,343 1,403 Other Schists 46 887 933 Serpentine 3 36 39 TOTAL 767 7,726 8,493 Let A denote the event that the geological formation has more than 1000 wells, and let B denote the event that a well failed. Determine the number of wells in each of the following events. Find the following, P( Bc\A). The probability that the well did not fail given that the geological formation has more than 1000 wells.  

The average number of demand Company A receives in a month i…

The average number of demand Company A receives in a month is 5000 with a standard deviation of 900 Y∼N(μ=5000, σ=900). This supply is normally distributed. What is the probability that the demand will be between 3800 and 5200 in any month. Find P(3800

In a city, 35% of adults are smokers. Of the smokers, 25% ex…

In a city, 35% of adults are smokers. Of the smokers, 25% exercise regularly; of the non-smokers, 50% exercise regularly. If a randomly selected adult is known to exercise regularly, what is the probability that the person is a smoker, given that they regularly exercise P(smoker∣exercises)? TI-84 online calculator