Provide the difference between continuous and discrete? What is an easy way to differentiate the two?
Continuous can go on and on while discrete has come kind of limit to it. A way to tell the difference is by seeing if you can take the decimal to it.
26, 37, 49, 64, 68, 69, 72, 74, 75, 77, 78, 80, 82, 83, 85, 85, 86, 91, 94, 100
Find the mean, median, mode, and standard deviation.
Mean = 73.16
Median = 77
Mode = 85
Standard Deviation = 18.7
What terms describes the following?
All of Dr. Navidar's Statistics Classes.
Everyone who lives in the city of Atlanta.
How do you know?
Population because it demonstrates the entirety of something measured
Draw a Tree Diagram for flipping a coin three times
Define Mutually Exclusive and Provide an example. Define non mutually exclusive and provide an example.
When two events cannot occur at the same time. For example, when you flip a coin, you cannot get both heads and tails.
The events can happen at the same time. An example would be when you roll a dice and want to get an odd number. There are multiple odd numbers on a dice.
What is the formula to find a Z-score?
Z = (x - mean)/standard deviation
Tanya is a car saleswoman. Below are the number of cars that she sold in each of the last six months.
23, 21, 21, 21, 21, 20, 20
Find the mean, median, mode, range, and standard deviation.
Mean = 21
Median = 21
Mode = 21
Range = 3
Standard Deviation = 1
Is this considered continuous or discrete?
Weight, height, hair length.
Continuous
When drawing cards from a deck, what is the probability of drawing a red queen?
Say you just drew a red queen, and did not put it back in the deck, what is the probability that you would draw a red four or a black six?
Are these events independent or dependent of each other?
P(Red Queen) = 2/52
P(red four or black six)= 4/51
dependent
Write out the rule for conditional probability, and explain it as if someone had never heard of statistics or probability before.
P(A|B) = P(A and B)/P(B)
Probability of A given that B already happened.
Give the difference between independent and dependent events. Provide an example.
Dependent events are when the previous outcomes effect the following outcomes, and independent events are the opposite. An example would be drawing a deck of cards. If a card is drawn and is not replaced, it is a dependent event. If a card is drawn and is replaced, then it is an independent event.
35, 32, 31, 34, 35, 35, 35, 35, 32, 31, 34, 35, 35, 35
Find the mean, median, mode, and standard deviation. Are there any outliers? If so, show how you found them.
Mean = 33.86, median = 35, mode = 35, Standard deviation = 1.61
No outliers
What are the four conditions that must apply in order for a probability situation to be considered a binomial distribution?
Fixed number of trials
Independent trials
Two different classifications
The probability of success stays the same for all trials
Refer to slide 6
a. 422/427302
b. 164872/591752
Refer to slide eight
8/242
19/81
Is the following considered to be numerical or categorical? Is it continuous or discrete?
Eye color, hair color, preference of cats or dogs.
Not continuous or discrete because these are categorical.
19, 19, 19, 20, 21, 21, 25, 25, 25, 26, 26, 28, 29, 31, 31, 32, 32, 33, 34, 35, 36, 37, 37, 38, 38, 38, 38, 41, 43, 43
Make a stem and leaf plot for the following data
1: 9,9,9
2: 0,1,1,5,5,5,6,6,8,9,
3: 1,1,2,2,3,4,5,6,7,7,8,8
4: 1,3,3
List the the main percentages used in the empirical rule
+/- one standard deviation = 68% of the data
+/- two standard deviations = 95% of the data
+/- three standard deviation = 99.7% of the data
A bag contains 6 green marbles, 5 blue, and 9 red. You draw twice with replacement. What is the probability that you will draw a green marble and then a blue marble?
P(Green and Blue): 3/40
Mary made a 55 on and exam with the class average being a 65 and a standard deviation of 4.8. Find the Z-score.
-2.08
Draw out a flow chart explains the four rules of probability. Include if they are mutually exclusive or not too, please.
Refer to slide seven
Another class took the same midterm exam. The scores are as follows:
46, 46, 74, 80, 89, 90, 92, 94, 96, 98, 99, 100
Find the Median, IQR, and Outliers. Show your work.
Median - 92
Outliers - 46
IQR = 20
When thinking about the general and special multiplication rules, which is and isn't mutually exclusive?
General: not mutually exclusive
Special: mutually exclusive
What is the probability that you will land in the safe zone?
7/12
After studying a couple's family history, a doctor determines that the probability of any child born to this couple having a gene for disease X is 1 out of 4. If the couple has three children, what is the probability that exactly two of the children have the gene for disease X?
0.1406