Sets
Give the definition of a set
A collection of objects
A building has 26 floors. Suppose you get on the elevator and randomly choose a button. What is the probability that you end up on the 13th floor?
1/26
What is the conditional probability formula?
What is the Binomial Distribution Formula?
P(k successes) = nCk (p)^k*(q)^(n-k)
Name three forms of quadratics we studied last year.
standard, vertex, factored
Let U be all students in this class. What does n(U) mean in words?
The number of students in this class
A building has 26 floors. Suppose you get on the elevator and randomly choose a button. What is the probability that you end up on the 13th OR the 15th floor?
1/13
P(A) = 0.1, P(B)=0.6, P(A and B) = 0.04
What is P(A|B)?
1/15
Suppose you flip a coin 10 times. What is the probability that exactly 3 of those flips are tails?
11.7%
What is the compound interest formula?
A=P(1+r/k*100)kn
In a class of 29 students, 19 study Spanish, 14 study French, and 5 study both languages. How many students study neither language?
1 student
A building has 26 floors. Suppose you get on the elevator and randomly choose a button. What is the probability that you end up on the 13th AND the 15th floor?
0
A card is drawn randomly from a deck of 52 cards. Find the probability that an ace is drawn given that the card draw is a diamond.
1/13
Suppose a baseball player has a batting average of 0.295. What is the probability that he gets exactly 6 hits out of his next 20 at bats?
19.1%
What are the keystrokes on the TI-84 to find a linear regression equation?
stat->right arrow to calc->down arrow to option 4
Consider the set W = {0,1,2,3,4,5}
1) Create a proper subset of W
2) Create a subset of W that would be considered "not-proper"
1) Answers vary
2) {0,1,2,3,4,5}
Suppose each person is given a vaccine number that is 5 digits and can use the numbers 0-9 for each digit. If you are assigned a number at random, what is the probability that you receive number 00000?
1/100,000
A card is drawn randomly from a deck of 52 cards. What is the probability that a king is drawn given that the card is red and a face card?
1/3 or 0.333
A certain medication has a 10% chance of producing a negative reaction in patients. What is the probability that out of 100 patients, no more than 8 will have a negative reaction?
32.1%
When the mean, median, and mode are identical for a uni-variate data set, what does that tell you about the distribution of the data set?
The distribution is symmetrical
Consider two sets P and Q. Draw a classic Venn diagram showing P and Q. Then Shade the region that represents (P and Q)'
Show me the drawing!
Suppose you play a lotto that has 25 balls numbered 1-25, of which 3 are chosen. What is the probability that you match all three balls, ignoring order?
1/2300
Let x = heads on a fair coin flip. Suppose you are flipping the coin twice in total.
P(x) = 0.5
P(x|x) = 0.5
What is P(x and x)?
0.25 or 1/4
A teacher writes a 55 question multiple choice test, on which each question has 5 answer choices. One student guesses at random for each question. What is the probability that the student gets at least 10 questions correct?
68.4%
The population of bees can be modeled by...
b(t) = 100(1.2)t where t is in months.
After how many months will the population reach 50,000 bees?
34.1 months