Cori is taking a twenty question multiplechoice test. Cori knows the answers to ten of the questions, but unfortuantley, Cori has to guess on the remaining ten questions. If there are five choices for each question, what is the problability that

a) Cori guesses on the ten remaining questions and gets 5 of them correct? Round this probability to four decimal places.

b) Cori guesses on the ten remaining questions and gets less than 5 of them correct? Round this probability to four decimal places.

c) Cori guesses on the ten remaining questions and passes the test with a 70% or better? Round this probability to four decimal places.

d) How many of the ten questions would you expect Cori to get correct?