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.

Fill in the Blanks

Find the mean of the given discrete probability distribution.

Fill in the Blanks

Find the mean of the given discrete probability distribution.

Fill in the Blanks

Find the mean of the given discrete probability distribution.

Fill in the Blanks

Find the mean of the given discrete probability distribution.

Fill in the Blanks

Find the mean of the given discrete probability distribution.

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.

•  $\sigma^2=∑〖X^2•P(X)-μ^2〗$  

Fill in the Blanks

Find the variance and the standard deviation of the given discrete probability distribution.

Fill in the Blanks

Find the variance and the standard deviation of the given discrete probability distribution.