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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

Each of the possible five outcomes of a random experiment is equally likely. The sample space is [a, b, c, d, e]. Let A denote the event [a, b], and let B denote the event [c, d, e]. Determine the following:

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 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 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?    

“If topology is the only consideration of accuracy, then a node has to be formed when two lines intersect on the same plane.”

“Given two locations with the same latitudinal position (say N 35 degree), the shortest path between them is along the latitude (that N 35 degree in the example).”

“The earth can touch the developable surface only along a single line (in fact, a curve) along which locations have the least or no distortion on that map.”

“In the diagram below, A and B are polygon IDs, a, b, c, … i are line IDs, and 1, 2, 3, … 8 are point IDs. What types of topological relations can you identify if you were given access to the data stored in the system? Show one example for each type of typological relation using the identification numbers (IDs) of the features.”  

“How are points, lines and polygons related to each other? “