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As the degrees of freedom increase, Student’s t distribution “looks” most like the normal distribution.  

Hal is a third-year medical student in Wisconsin. Yesterday he was reading a paper about Dengue Fever, which comes from a virus transmitted via mosquitoes. The primary symptoms are fever, vomiting, aches and pains, and fatigue. It is incredibly uncommon in the state of Wisconsin (particularly in winter). The next day, Hal is seeing a patient whose symptoms are a good fit to Dengue fever. The symptoms are also a pretty good fit to the flu (though a slightly less good fit than the fit to Dengue fever). The flu right now is very common in Wisconsin. In his mind, Hal overestimates how common Dengue Fever might be in Wisconsin right now. He also focuses strongly on the fact that the symptoms are a very slightly better fit to Dengue Fever than to flu. As such, he gives the patient a diagnosis of Dengue fever. Hal’s overestimation of the commonness of Dengue Fever based on the fact that he was just reading about Dengue Fever, is a good example of what decision-making error?

(x−2) is a factor of f(x)=3×4−5×3+4×2−8x+4f(x) = 3x^4 – 5x^3 + 4x^2 – 8x + 4.

A 54-year-old female with a history of hypertension that remains uncontrolled despite being on a thiazide diuretic, calcium channel blocker, and ACE inhibitor presents for follow-up. Her blood pressure remains 150/95 mmHg, and labs show normal kidney function and potassium level of 4.2 mEq/L. She has no history of heart failure. Which of the following medications is the most appropriate to add to her regimen?

f(x) = x3 + x is an odd function.

We put 10 orange balls, 10 red balls, and 20 yellow balls in an urn. We randomly select 6 balls from the urn. What is the probability that two of the balls selected are orange and the other four selected are not orange (either yellow or red)? Round your answer to 3 digits after the decimal point.

Donald believes the COVID-19 virus is produced by a secret lab in China. He searched online and found a news article stating the same thing. He now believes it even more. What decision-making error did Donald fall prey to?

Tamara is on her high school’s soccer team.  In their first game of the year, Tamara’s team lost 3-0. Tamara thought the other team was talented, but not overly mean or aggressive. On the bus ride back home, Tamara’s two best friends on the team, Jocelyn and Christina, spent the whole bus ride talking about how players on the other team pushed, elbowed, and were incredibly over-aggressive. Five weeks later, Tamara is preparing to play another game against the same team from the first game.  When Tamara thinks back to the first game, she now remembers the opposing team being super aggressive and sometimes even cheating.    Tamara’s altered (i.e., changed) memory of the first soccer game is an example of which type of memory error?

for the function h(x)=2×4−6×3+2×2+6x−4= 2(x+1)(x−1)2(x−2), find: (A)  the x-intercept(s), if any

g(x) = x3 – 4×2 + x + 6 has an x-intercept at (1, 0).