An unfair coin with​ Pr[H] =0.3 is flipped. If the flip resu…

An unfair coin with​ Pr[H] =0.3 is flipped. If the flip results in a​ head, a marble is selected at random from a urn containing fourred and six blue marbles.​ Otherwise, a marble is selected from a different urn containing six red and two blue marbles. If the selected marble selected is​ red, what is the probability that the flip resulted in a​ head? (When you finish, make sure to show your work to the camera for few seconds, submit your work after you finish the exam. Make sure to show the filled tree Diagram)

Technetium-99m is widely used in medical imaging because it…

Technetium-99m is widely used in medical imaging because it emits gamma rays but has a short half-life. Explain why having a short half-life is an advantage in medicine. Why are gamma rays particularly useful for diagnostic imaging compared to alpha or beta radiation?  

Street Signs are shops all rely on neon lights to catch atte…

Street Signs are shops all rely on neon lights to catch attention. Different gases in discharge tubes used for the lights emit different colors when an electric current passes through them. a) Explain, in terms of electronic structure, why each gas produces its own unique emission spectrum. (4 points) b) A neon sign emits bright red-orange light with a dominant wavelength of ~ 640 nm. Calculate the energy (in joules) of a single photon of this light. ( 4 points) Use h=6.626×10−34 J⋅sh = 6.626 \times 10^{-34} \, J \cdot s        c=3.00×108 m/sc = 3.00 \times 10^{8} \, m/s *make sure to show all your work – giving only the answer or irrelevant work will earn a zero grade. 

Phosphorus-32   is used in the treatment of leukemia, among…

Phosphorus-32   is used in the treatment of leukemia, among other things. The isotope undergoes beta particle decay. Write a balanced equation for this process. Be sure to include all missing information including: symbol, mass number, and atomic number. *use the symbol to help you create the equation. –Insert–> equation–>basic–>8th symbol in. *If you can’t figure out the symbol, do your best to create the balanced equation. example:   Al  + He–>