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Vocab
Fill In The Table
Find The Variance
Find The Probability/Mean
Chance
100
What is the term used to describe a countable number of possible values a.Random Variable b.Discrete Random Variable c.Continuous Random Variable d.Expected Value of X
B. Discrete Random Variable
100
(See Table 1) Fill in the missing values.
A=1 B=.3
100
What is the first step to finding the variance?
Finding the mean
100
(See table 10) What is the probability of getting an A?
.15
100
All of the following are Chapter 7 vocabulary except A.Probability Distribution B.Law of Large Numbers C.Law of Small Numbers D.Variance
C. Law of Small Numbers
200
True or False, the expected value of x is essentially the same thing as the mean.
True
200
(See Table 2) μ = 5,000
A=10,000 B=.2
200
List all of the steps (1-5) to finding the variance in the correct order.
1.Find the Mean 2.Find the deviations (subtract x from the mean found in step 1) 3.Square the deviations 4.Multiply each squared deviation by its respective probability 5.Add the products
200
(See table 10) What is the probability of not failing (D or better)?
.90
200
(See table 7) μ = ?
2.4
300
Draw a probability histogram with all axes labeled for this set of data. (See table 10)
(See Histogram 1)
300
In a lottery game, if your ticket is chosen, you win $600. There are 1000 lottery tickets and you may only choose one. Create a probability distribution chart for this scenario.
See Table 3.
300
Find the variance for the following set of data, show all work. (See table 11)
1-2.51= (-1.51) ^2= 2.2801(.26) =.5928 2-2.51= (-.51) ^2= .2601(.32) =.0832 3-2.51= (.49) ^2= .2401(.17) =.0408 4-2.51= (1.49) ^2= 2.2201(.15) =.333 5-2.51= (2.49) ^2= 6.2001(.1) =.6200 .5928+.0832+.0408+.333+.6200=1.6694 A=1.6694
300
(See table 10) Find the mean.
2.1
300
Probability of 3 or higher? Probability of less than 2? (See table 8)
.55 and .3
400
What is an example of a Continuous Random Variable and why?
Answers vary. The variable is continuous because it has infinite values
400
Fill in the missing values. μx+y= 4.6 μx = 2 μy = (A) (See tables 4 and 5)
A=2.6 B=5 C-.17
400
If you have enough data to do so, find the variance for the following set of data, show all work. If not, explain why you do not have enough data. (See table 12)
You cannot calculate the variance because you need to know the probability for each variable in order to find the variance.
400
(See table 14) Find the mean.
1.15
400
If μx= 27 and μy= 25 then μx+y = ___? A.26 B.52 C.2 D.29
B. 52
500
What does the Law of Large numbers state?
As sample size increases, the sample mean becomes closer to the population mean
500
Tom has a bag of 10 coins and tells Rosa that he will give her $5 if she picks a red coin, $1 if she picks a blue coin, and nothing if she picks a yellow coin. She cannot look and only gets one try. The bag contains six yellow coins, three blue coins, and one red coins. Create a probability distribution chart for this scenario.
See table 6.
500
If you have enough data to do so, find the variance for the following set of data, show all work. If not, explain why you do not have enough data. (See table 13)
1-(.17+.22+.40) =.25=? (1(0)) + (2(.17)) + (3(.22)) + (4(.36)) + (5(.25)) =3.69 1-3.69= (-2.69) ^2= 7.2361(0) = 0 2-3.69= (-1.69) ^2= 2.8561(.17) = .4855 3-3.69= (-.69) ^2= .4761(.22) = .1047 4-3.69= (.31) ^2= .0961 (.36) =.0346 5-3.69+ (1.31) ^2 = 1.7161 (.25) = .429 .4855+.1047+.0346+.429=1.0538 A=1.0538
500
Find the mean. (See tables 15 and 16)
5445
500
(See table 9) μ = 244 Find the variance.
969.6