Chapter 1 Statistics and Probability

Chapter 1 Statistics and Probability

REVIEW

TWO TYPES OF RANDOM VARIABLE

• DISCRETE RANDOM VARIABLE - can only take a finite (countable) number of distinct values. Distinct values mean values that are exact and can be represented by non-negative whole numbers.

• CONTINUOUS RANDOM VARIABLE - can assume an infinite number of values that can be represented not only by non-negative whole numbers but also by fractions and decimals. These values are often results of measurement.

Multiple Choice

The length of time spent playing video games in minutes

• discrete random variable

• continuous random variable

Multiple Choice

Rotating a spinner that has 4 equally divided parts: blue, green, yellow, and red

• Discrete Random Variable

• Continuous Random Variable

Multiple Choice

Collecting data about the mileage per liter of a certain brand and model of a car

• Discrete Random Variable

• Continuous Random Variable

Multiple Choice

Recording the number of points scored by a NBA team in each game of the 2018 season

• Discrete Random Variable

• Continuous Random Variable

Multiple Choice

Measuring the distance travelled by different cars using 1-liter of gasoline

• Discrete Random Variable

• Continuous Random Variable

PROPERTIES OF DISCRETE RANDOM VARIABLE

•  $0\le P\left(x\right)\le1$  

•  $∑P\left(x\right)=1$  

Multiple Choice

Identify the distribution if it is a discrete probability distribution or not.

• Discrete Probability Distribution

• Not Discrete Probability Distribution

Multiple Choice

Identify the distribution if it is a discrete probability distribution or not.

• Discrete Probability Distribution

• Not Discrete Probability Distribution

Multiple Choice

Identify the distribution if it is a discrete probability distribution or not.

• Discrete Probability Distribution

• Not Discrete Probability Distribution

Multiple Choice

Identify the distribution if it is a discrete probability distribution or not.

• Discrete Probability Distribution

• Not Discrete Probability Distribution

Multiple Choice

Identify the distribution if it is a discrete probability distribution or not.

• Discrete Probability Distribution

• Not Discrete Probability Distribution

Finding the mean of a discrete probability distribution

• Multiply the random variable by its corresponding probabilities

• Add the products. The sum will be the mean of the discrete probability distribution.

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Finding the variance and standard deviation of a discrete probability distribution

• Find the mean

• Multiply the square of the random variable by its corresponding probabilities

• Add the products. The sum will be the variance.

• To get the standard deviation, get the square root of the variance.

•  $\sigma^2=∑〖X^2•P(X)-μ^2〗$  

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