STAT AND PROB

Question 1

is a list of the possible values of X and the corresponding probabilities of the values. It specifies the probability associated with each possible value of the random variable

Answer 1

probability distribution of a discrete random variable X

Question 2

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

Answer 2

equal to 1. In symbol, we write it as 𝜮𝑷(𝑿) = 𝟏

Question 3

The probability of each value of the random variable must be

Answer 3

between or equal to 0 and 1. in symbol 0< p(x)<1

Question 4

are variables that can take on a finite number of distinct values. In easier definition, discrete random variable is a set of possible outcomes that is countable.

Answer 4

discrete random variables

Question 5

are random variables that take an infinitely uncountable number of potential values, regularly measurable amounts.

Answer 5

continous random variable

Question 6

is a capacity that connects a real number with every component in the sample space. It is a variable whose qualities are controlled by chance. In this manner, a random variable is a numerical amount that is derived from the results of an arbitrary trial or experiment.

Answer 6

random variable

Question 7

is a measure of how much the probability mass is spread out around the center which is the mean

Answer 7

variance of discrete random variable

Question 8

is a weighted average of the possible values that the random variable can take.

Answer 8

mean of discrete random variable µ

Question 9

-Also known as Gaussian Distribution
-Normal Curve is a bell curve
-Symmetric about the mean

Answer 9

normal distribution

Question 10

Mean, median and mode are equal and located at the______ of the Distribution

Answer 10

center

Question 11

A normal distribution curve is

Answer 11

unimodal

Question 12

The distribution curve is asymptotic to the

Answer 12

x- axis

Question 13

The total area under the normal curve is

Answer 13

1

Question 14

Table of Areas under the Normal Curve

Answer 14

z-table

Question 15

a measure of relative standing

Answer 15

z-score

Question 16

Represents the distance between a given measurement X and the mean,expressed in standard deviations

Answer 16

z-score

Question 17

Who is the first french-born mathematician who proved the first version of the central limit theorem?

Answer 17

abraham de moivre

Question 18

refers to the entire group that is under study or investigation

Answer 18

population

Question 19

a subset taken from population. It is a representation of the population where one hopes to draw valid conclusions from about the population

Answer 19

sample

Question 20

in which each member of the population is given equal chance to be chosen as part of the sample.

Answer 20

random sampling

Question 21

the measurement or quantity that describes the sample

Answer 21

statistics

Question 22

The measurement or quantity that describes the population

Answer 22

parameter

Question 23

It was the English statistician who was one of the first to discover the Student’s t – distribution.

Answer 23

William Sealy Gosset

Question 23

refer to the number of independent observations in a given set of data.

Answer 23

degrees of freedom

Question 24

The number of independent observations is sample size minus one or in symbols

Answer 24

df=n-1

Question 25

the t-distribution can still be utilized for moderately skewed population distribution given that it is unimodal, without outliers and size is at least

Answer 25

40

Question 26

is one of the measurements in statistics which tells the value below in which an observations’ percentage in a set of observations falls

Answer 26

percentile

Question 27

the range of values that you expect your estimate to fall between a certain percentage.

Answer 27

confidence interval

Question 28

The confidence level is denoted by

Answer 28

(1 – α)100%