1) Suppose a deck of 10 cards each with a different digit from 0-9 are shuffled and a card from the top of the deck is drawn.
Find the following probabilities.
a) That the outcome is odd.
b) That the outcome is prime (2, 3, 5 and 7).
c) That the outcome is odd and prime .
d) That the outcome is odd or prime .
e) That the outcome is prime given that it is odd.
f) That the outcome is neither odd nor prime.
2) Consider the following joint frequency table which summarizes voting trends in the most recent Presidential election.
PARTY AFFILIATION
Democratic Republican Independent TOTAL
VOTED IN 2010
Voted 530 500 470 1500
Didnâ??t Vote 170 174 156 500
TOTAL 700 674 626 1000
a) Convert the table above to a joint probability table.
Use your table in part
a) to find the following probabilities.
b) That a survey subject is registered Independent.
c) That a survey subject voted in the 2008 election.
d) That a survey subject is registered Independent and that she or he voted in the 2008 election.
e) That a survey subject is registered Independent or that she or he voted in the 2008 election.
f) Suppose it is known that a survey subject is registered Independent. What is the probability that she or he voted in the 2008 election.
g) What is the probability that two randomly selected survey subjectsâ?? voter registration is Independent. (Hint: This is an probability. Assume independence.