While watching a game of Champions League football in a cafe…

While watching a game of Champions League football in a cafe, you observe someone who is clearly supporting Manchester United in the game. What is the probability that they were actually born within 25 miles of Manchester ? Assume that: The probability that a randomly selected person in a typical local bar environment is born within 25 miles of Manchester is 1/20 the chance that a person born within 25 miles of Manchester actually supports United is 7/10 the probability that a person not born within 25 miles of Manchester supports United with probability 1/10

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 Failed Wells Total Wells Gneiss 170 1685 Granite 2 28 Loch raven schist 443 3733 Mafic 14 363 Marble 29 309 Prettyboy schist 60 1403 Other schists 46 933 Serpentine 3 39   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,

Customers who are registered on a corporate Web site are sum…

Customers who are registered on a corporate Web site are summarized by the type of shipping contract they use and the number of orders in the previous month. The number of customers in each category are shown in the following table. Customers are to be selected randomly. What is the conditional probability that the customer uses express shipping given that the customer had at least one order last month?     Shipping Contract Express Standard No orders 22 17 One order 62 44 More than one order 40 23

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 Failed Wells Total Wells Gneiss 170 1685 Granite 2 28 Loch raven schist 443 3733 Mafic 14 363 Marble 29 309 Prettyboy schist 60 1403 Other schists 46 933 Serpentine 3 39   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,  

A 4 year old male patient presents to your clinic and his mo…

A 4 year old male patient presents to your clinic and his mom says he had a runny nose last week that never cleared up and now he has a “barky” sounding cough that worsens at night.  His temperature is 100.1 and his breath sounds are diminished. His nares flare and he has inspiratory stridor.  Breath sounds are diminished. Which differential is at the top of your list of differentials based on the above information?

An adult patient with a history of allergies comes to the cl…

An adult patient with a history of allergies comes to the clinic complaining of wheezing and difficulty breathing when working in his yard.  Your assessment findings include the following: tachypnea, use of accessory neck muscles, prolonged expiration, and expiratory wheezes.  This description would place which diagnosis first on your differential diagnostic list?