Random variables and probability distribution

Question 1

It is any activity that can be done repeatedly under similar conditions

Answer 1

Experiment or Trial

Question 2

It is the set of all possible outcomes in an experiment

Answer 2

Sample space

Question 3

It is the subset of sample space

Answer 3

Event

Question 4

These are elements in a sample space

Answer 4

Outcomes

Question 5

It is the ratio of the number of favorable outcomes to the number of possible outcomes

Answer 5

Probabilty

Question 6

It is characterized as a function that associates a real number in a sample space

Answer 6

Random Variable

Question 7

It is a variable whose values are determined by chance

Answer 7

Random Variable

Question 8

it is a result of a chance event that you can measure or count

Answer 8

Random Variable

Question 9

It is either finite or infinite number of values but countable such as whole

Answer 9

Discrete random variable

Question 10

It has an infinite numerical values associated with any interval on the number line system without any gaps or break. This variable is measureable.

Answer 10

continuous random variable

Question 11

The______ of a discrete random variable specifies the probability{chance} of each possible value of the random variable.

Answer 11

ProbaBILITY Distribution

Question 12

The distribution of discrete random variables are concentrated as a mass of a particular value, and generally known as

Answer 12

Probability mass function

Question 13

Is a ratio of the number of a favorable outcomes to the number of possible outcomes.

Answer 13

Probability

Question 14

The probability of each value of the random variable must be between or equal to 0 and zero. In symbol

Answer 14

0<p{x}<1

Question 15

The sum of all the probabilities of all values of the random variable must be equal to______

Answer 15

1…In symbol we write it as summationp{x}=1

Question 16

We can represent a probability distribution graphically by conducting a type of a bar graph called a

Answer 16

Probability Histogram

Question 17

In constructing a probability histogram the values of random variable are located along_____

Answer 17

horizontal axis

Question 18

In constructing a probability histogram, the probability is located along______

Answer 18

Vertical axis

Question 19

The_____ of a discrete random variable x is a weighted average of the possible values that the random variable can take

Answer 19

Mean

Question 20

In a mean formula, x is

Answer 20

THe value of a random variable

Question 21

In a mean formula, P(x) is

Answer 21

The corresponding probability of the random variable

Question 22

It measures how far each number in the set is from the mean(average), and thus from every other number in the set

Answer 22

Variance

Question 23

it is the measure of the amount of variation or dispersion of a st of values.

Answer 23

Standard Deviation