A public radio station held a fund-raiser. The table below summarizes the donor category and method of donation.
Donor Category | |||
---|---|---|---|
Supporter | Patron | ||
Method of | Phone calls | 400 | 672 |
Donation | Online | 1200 | 2016 |
To the nearest thousandth, find the probability that a randomly selected donor was categorized as a supporter, given that the donation was made online.
Do these data indicate that being a supporter is independent of donating online? Justify your answer.
Calculate the probability of being a supporter given the donation was made online.
Determine if being a supporter is independent of donating online.
Given events and , such that , and , determine whether and are independent or dependent.
Determine whether and are independent or dependent.
Which situation best describes conditional probability?
Given and , where and are independent events, determine .
Determine given and
Juan and Filipe practice at the driving range before playing golf. The number of wins and corresponding practice times for each player are shown in the table below.
Juan Wins | Filipe Wins | |
---|---|---|
Short Practice Time | 8 | 10 |
Long Practice Time | 15 | 12 |
Given that the practice time was long, determine the exact probability that Filipe wins the next match.
Determine whether or not the two events "Filipe wins" and "long practice time" are independent. Justify your answer.
Given that the practice time was long, determine the exact probability that Filipe wins the next match.
Determine whether or not the two events "Filipe wins" and "long practice time" are independent. Justify your answer.
Data for the students enrolled in a local high school are shown in the Venn diagram below.
If a student from the high school is selected at random, what is the probability that the student is a sophomore given that the student is enrolled in Algebra II?
Mr . Zachary posts review assignments on the Betamath website for his students. On his last test, of his students used Betamath and passed. Overall, of his students used Betamath. Approximately what percentage of Mr. Zachary's students passed, given that they used Betamath?
Suppose events and are independent and is 0.2 . Which statement could be true?
Suppose events and are independent and is 0.2 . Which statement could be true?
On a given school day, the probability that Nick oversleeps is and the probability he has a pop quiz is . Assuming these two events are independent, what is the probability that Nick oversleeps and has a pop quiz on the same day?