Stats
Calculate percent of people who waited less than 18 minutes given the mean wait time is 18 minutes and standard deviation is 3 minutes
50%
U={10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
A= set of all odd numbers
B= set of all numbers greater than 15
Determine the elements in set A.
{11, 13, 15, 17, 19}
Please refer to figure 1.
What is the probability that someone plays baseball and is male?
(13/100) or 13%
Given:
P (girl) = 1/2
P (even) = 1/2
P (girl and even) = 1/4
What is the probability of being a girl or getting an even #?
(3/4) or 75%
Each of the numbers 1-10 are written on a sheet of paper and place in a bowl.
If one sheet is selected what is the probability of getting less than 5?
What is (2/5) or 40%
Calculate percent of people who waited less than 15 minutes given the mean wait time is 18 minutes and standard deviation is 3 minutes
50%-34% = 16%
U={10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
A= set of all odd numbers
B= set of all numbers greater than 15
Determine the Intersection of sets A and B
{17, 19}
Please refer to figure 1.
What is the probability that someone plays football OR is female?
(72/100) or 72%
What is the probability of choosing a queen or a black card in a standard deck of cards?
(28/52)=(7/13)=54%
Each of the numbers 1-10 are written on a sheet of paper and place in a bowl.
What is the probability of drawing a 10 given that you drew a 5 on the first draw and then put the paper back?
What is (1/10) or 10%
Draw a normal curve with general percents
Empirical Rule --> 68%, 95%, 99.7%
Or break down each section, from L to R
0.15%, 2.35%, 13.5%, 34%
U={10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
A= set of all odd numbers
B= set of all numbers greater than 15
Determine the complement of A
{10, 12, 14, 16, 18, 20}
Please refer to figure 2.
We need to select a girl for the math competition, what is the probability of selecting a junior given that we know she has to be female?
(42/167) = 25%
Suppose P(A)= 0.55 and P(B)= 0.25 and P(A or B)= 0.65.
Find P(A^C)
0.45 or 45%
Each of the numbers 1-10 are written on a sheet of paper and place in a bowl.
What is the probability that the first number you draw is odd and the second number is even?
Note: You put the paper back after you draw the first one.
What is (1/4) or 25%
If 100 students are enrolled, how many students are above 81 given the mean is 73 and the standard deviation is 4?
2.5% of 100 = 2.5 students
between 2-3 students
U={10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
A= set of all odd numbers
B= set of all numbers greater than 15
Determine the Union of sets A and B
{11, 13, 15, 16, 17, 18, 19, 20}
Please refer to figure 2.
What is the probability a freshman is selected given the fact that he is male?
(62/178) or 35%
Suppose P(A)= 0.55 and P(B)= 0.25 and P(A or B)= 0.65.
Find P(A and B)
0.15 or 15%
Each of the numbers 1-10 are written on a sheet of paper and place in a bowl.
What is the probability of drawing two sheets of paper where both numbers are greater than or equal to 8?
Note: You draw one and don't put it back before drawing the other.
What is (1/15) or 7%
An auto manufacturer advertises that 3 in every 50 automobiles will have a defect so be sure to register your vehicle so you can be notified. A dealership buys 400 vehicles from this manufacturer and finds that 7 vehicles actually ended up having a defect. How many vehicles do we predict to have a defect?
24
U={10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
A= set of all odd numbers
B= set of all numbers greater than 15
Find P(A U B)
8/11 = 73%
Please refer to figure 3.
Is being 16 and an athlete independent or dependent?
Since (1/8)=/(3/16) this is NOT independent; so dependent
What is the probability of choosing a queen in a standard deck of cards?
What is the probability of selecting a black card?
Are these events independent or dependent?
4/52 = 1/13 = 8%
26/52 = 1/2 = 50%
Independent
Each of the numbers 1-10 are written on a sheet of paper and placed in a bowl.
What is the probability of drawing two sheets of paper, without replacement, where both numbers are odd?
What is (2/9) or 22%