The distribution of the time until change (in days) of a Web site is approximated in the following table.     Days until Changes Probability 1.5 0.05 3.0 0.25 4.5 0.35 5.0 0.20 7.0 0.15   Calculate the expectation (mean) for X

Each of three machined parts is classified as either above or below the target specification for the part. Let a and b denote a part above and below the specification, respectively.Provide a reasonable description of the sample space for this random experiment. 

Each of the possible five outcomes of a random experiment is equally likely. The sample space is . Let A denote the event , and let B denote the event . Determine 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?

UTM produces the least or no distortion in the north-south direction along the central meridian.

The intersections between the developable surface and the earth typically, although not necessarily, follow an east-west or north-south direction.

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

“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? ”

A 25-year-old accountant presents to your clinic, complaining of intermittent lower right-sided chest pain for several days. He describes it as knifelike and states it only lasts for 3 to 5 seconds, taking his breath away. He states he feels like he has to breathe shallowly to keep it from recurring. The only thing that makes it better is lying quietly on his right side. It is much worse when he takes a deep breath. He has taken some Tylenol and put a heating pad on his side but neither has helped. He remembers that 2 weeks ago he had an upper respiratory infection with a severe hacking cough. He denies any recent trauma. His past medical history is unremarkable. His parents and siblings are in good health. He has recently married, and his wife has a baby due in 2 months. He denies any smoking or illegal drug use. He drinks two to three beers once a month. He states that he eats a healthy diet and runs regularly, but not since his recent illness. He denies any cardiac, gastrointestinal, or musculoskeletal symptoms. On examination he is lying on his right side but appears quite comfortable. His temperature, blood pressure, pulse, and respirations are unremarkable. His chest has normal breath sounds on auscultation. Percussion of the chest is unremarkable. During palpation the ribs are nontender. What disorder of the chest best describes his symptoms?