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Vocabulary
Discrete Random Variable
Continuous Random Variable
Probability Distribution
Mean, Variance and Standard Deviation
100
This is a type of random variable where you count the number of outcomes
What is discrete random variable
100
The weight of the chairs or the number of chairs
What is the number of chairs
100
the time you spend in class or the number of classes in a day
What is the time you spend
100
The first step of constructing a probability frequency distribution
What is make a frequency distribution of possible outcomes
100
the two key pieces of information to solve for the mean
What is the data (x) and the probability of the data (P(x))
200
This is a type of random variable that's outcomes are uncountable
What is continuous random variable
200
Weight of students in the classroom or number of students in the classroom
What is the number of students in the classroom
200
the height of students in class or the amount of students in class
What is the height of students
200
how can you display a probability frequency distribution
What is frequency histogram
200
the key information in order to solve for variance
What is the data, the mean, and the probability of the data
300
Represented the letter x associated with each probability experiment outcome
What is a random variable
300
the volume of water in the water bottles or the number of water bottles in the classroom
What is the number of water bottles
300
the probability of x - P(X)
What is the frequency divided by total frequency
300
the key information for the standard deviation
What is the variance
400
Lists each possible value of the outcome and its probability
What is a probability distribution
400
the time it takes to complete the test or the number of the questions on the test
What is the time it takes
400
The two standards of probability distributions
What is each probability has to be between zero and one and the sum of the probabilities has to equal one
400
Find the mean Data Frequency 1 10 2 12 3 13
What is... Data Frequency P(X) X*P(X) 1 10 10/35=0.28 1*0.28=0.28 2 12 12/35=0.34 2*0.34=0.68 3 13 13/35=0.37 3*0.37=0.74 the sum of the x*P(x) = 1.70
500
Mean of a Probability Distribution
What is the sum of each random times its probability
500
the distance traveled between classes or the number of acres of campus
What is the number of acres
500
the hours of sleep you get in a day or the hours in a day
What is the hours of sleep
500
Finish the Probability Distribution 1 IIII 2 II 3 III 4 I 5 I
What is.... 1 IIII 4/11=0.36 2 II 2/11=0.18 3 III 3/11=0.27 4 I 1/11=0.09 5 I 1/11=0.09 sum of frequency = 11 sum of probability = 1.00
500
Find the variance and standard deviation Data Frequency P(X) X*P(X) (x-u)^2 1 10 10/35=0.28 1*0.28=0.28 2 12 12/35=0.34 2*0.34=0.68 3 13 13/35=0.37 3*0.37=0.74 the sum of the x*P(x) = 1.70
What is.... Data Frequency P(X) X*P(X) (x-u)^2 1 10 10/35=0.28 1*0.28=0.28 (1-1.70)^2 2 12 12/35=0.34 2*0.34=0.68 (2-1.70)^2 3 13 13/35=0.37 3*0.37=0.74 (3-1.70)^2 the sum of the x*P(x) = 1.70 variance = 0.19+1.017+1.93 = 3.137 standard deviation = the square root of 3.137 = 1.821