Question

A website reports that 50​%of their users are from outside the United States and that 60​% of their users log on to their website every day. Suppose that 45​% of their users are United States users who log on every day. Complete parts a through e below.

​a) What percentage of the​ website's users are from the United​ States?

The percentage of the​ website's users that are from the United States is

nothing​%.

​b) What type of probability is the 45​%mentioned​ above?

empirical probability

personal probability

joint probability

marginal probability

​c) Construct a contingency table showing all the joint and marginal probabilities. Assign user from the United States and users from outside the United States to the columns. Assign users who log on every day user and users who do not log on every day to the rows.

​d) What is the probability that a user is from the United States given that he or she logs on every​ day?

The probability that a user is from the United States given that he or she logs on every day is

nothing.

​(Round to three decimal places as​ needed.)

​e) Are From United States and Log on Every Day​ independent? Explain. Choose the correct answer below.

A.

​No, because the conditional probability that the individual is from the United States given they log on every day is not equal to the probability the individual is from the United States.

B.

​Yes, because the conditional probability that the individual is from the United States given they log on every day is not equal to the probability the individual is from the United States.

C.

​No, because the conditional probability that the individual is from the United States given they log on every day is equal to the probability the individual is from the United States.

D.

​Yes, because the conditional probability that the individual is from the United States given they log on every day is equal to the probability the individual is from the United States.

Answer 1

a)

percentage of the​ website's users are from the United​ States =100-50 =50%

b)

What type of probability is the 45​%mentioned​ above : joint probability

c)

	US	outside US	total
every day	0.45	0.15	0.6
not every day	0.05	0.35	0.4
total	0.5	0.5	1

d) probability that a user is from the United States given that he or she logs on every​ day =0.45/0.6

=0.75

e)

​A.No, because the conditional probability that the individual is from the United States given they log on every day is not equal to the probability the individual is from the United States.