Weights of Pacific yellowfin tuna follow a normal distribution with mean weight μ = 68 lb and standard deviation σ = 12 lb.  A Pacific yellowfin tuna is caught at random.  Find the probability that its weight is less than 48 lbs.

Willard has just been given a ten-question multiple choice test in one of his classes.  Each question has five answers only one of which is correct.  Since Willard has not attended class recently, he does not know any of the answers.  Assume that Willard guesses randomly on all ten questions.  Find the probability that he will answer, at most, 3 questions correctly. 

Dream Travel Tours contracted with Slick Rent-a-Car to provide rental cars to travelers.  Slick went out of business and did not provide the prepaid rental cars to 20 travelers.  The travelers demanded refunds from Dream Travel.  The times elapsed between refund requests and the actual refunds were as follows (in days): 26,   49,   22,   58,   43,   37,   48,   32,   21,   54, 42,   63,   27,   33,   47,   45,   67,   21,   48,   57 Make a stem and leaf display of the data.

Choose 1 of the 2 hypotheticals/problems and answer all 5 questions for the chosen hypothetical/problem.   1. Taiwan’s status as a state has been a contentious one, since China (PRC) considers Taiwan to be an integral part of China. Taiwan wants to be recognized as an independent state and wants to be reinstated as a member of the UN. China has also declared that it will actively oppose measures by the international community to recognize Taiwan as an independent state. This has posed a problem for states in the international community who want to engage with Taiwan. In order to qualify for statehood, what conditions must Taiwan fulfill according to the Montevideo Convention of 1933?   2.If majority of states do not recognize Taiwan as an independent state, is it still entitled to statehood under international law?   3.Does Taiwan enjoy dejure or defacto status under international law?   4. What legal argument can Taiwan make, citing international law that it has the right to be an independent state in addition to the fact that it meets the requirement for statehood?   5. How can China block a bid for UN membership by Taiwan?   2. A Syrian family (parents and two children) escaping from Syria which is in the midst of a civil war finally arrives in the UK after making a difficult and hazardous journey. At the border, they show documents that prove that they are Syrian nationals. The mother gives birth to a  third child after arriving in the UK. This situation raises the following question regarding their status and rights under international law. 1. Can the UK, a signatory to the Refugee Convention (1951) turn away the Syrian family? Why? 2. Could the UK authorities have imprisoned or fined them for entering the country without a valid visa? 3. Which would be the best mode of acquiring UK/ British nationality for the Syrian family arriving from Syria in accordance with the laws of UK? Why? 4. Which  would be the best mode of acquiring British nationality for the child who was born in the UK in accordance with UK laws? Why? 5. Which would be the best mode of acquiring Syrian nationality for the child who was born in the UK in accordance with Syrian laws, if the family decided to go back to Syria after the war? Why?    

The eighteenth century saw the birth of a new literary genre, the novel, and the growing acceptance of women as authors. The most famous woman from this period, as recognized today, was the English novelist:

The philosophes of the eighteenth century used people’s houses in which to meet and converse on a more informal basis than that provided by the royal academies. These informal meetings were known as:

One philosophe organization, founded by Warville de Brissot, which called for the abolition of slavery was the:

 A 52 year old patient presents with a history of cholecystitis. The ultrasound image of the gallbladder is most likely demonstrating which complication?

Which measurement is considered the upper limit of normal for the common bile duct in a 60 year-old patient who has NOT had a cholecystectomy?

Presentation Right upper quadrant pain Patient Data AGE: 60 years GENDER: Female Link to case: https://radiopaedia.org/cases/431ca7b04193d7186d1bd9004e65e19f?lang=us Explain the diagnosis (1 point)