Consider randomly selecting a single individual and having that person test drive 3 different vehicles. define events a1, a2, and a3 by a1 5 likes vehicle [1 a2 5 likes vehicle [2 a3 5 likes vehicle [3 suppose that p(a1) 5 .55, p(a2) 5 .65, p(a3) 5 .70, p(a1 ø a2) 5 .80, p(a2 ù a3) 5 .40, and p(a1 ø a2 ø a3) 5 .88.

a. what is the probability that the individual likes both vehicle #1 and vehicle #2?

b. determine and interpret p(a2ua3).

c. are a2 and a3 independent events? answer in two different ways.

d. if you learn that the individual did not like vehicle #1, what now is the probability that he/she liked at least one of the other two vehicles?

Dakota earned $7.50 in interest in account a and $18.75 in interest in account b after 15 months. if the simple interest rate is 4% for account a and 5% for account b, which account has the greater principal? explain. to make it a little easier, there is an image. good luck!

Describe how making an ‘and’ compound sentence effects your solution set

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true