STATISTICS AND PROBABILITY

Question 1

Is an experiment that can be repeated numerous times under the same conditions. The results must be independent of one another.

Answer 1

Random experiment

Question 2

Example of this is Tossing a coin

Answer 2

Random experiment

Question 3

Is the result of a random experiment

Answer 3

Outcome

Question 4

Is the set of possible outcomes of a random experiment. It is also the domain.

Answer 4

Sample space

Question 5

Is a function that associates a numerical value to every outcome of a random experiment

Answer 5

random variable

Question 6

A random variable with a finite number of possible values or an infinite number of values that can be counted

Answer 6

Discrete random variable

Question 7

a random variable that can assume n infinite number of values that can take decimal or fractional values

Answer 7

Continuous random variable

Question 8

numbers of students in the canteen during lunch break

Answer 8

Discrete random variable

Question 9

amount of water in liters that a person consumes in a day

Answer 9

Continuous random variable

Question 10

amount of money spent on buying medicines

Answer 10

Continuous random variable

Question 11

Weight of a baby

Answer 11

Continuous random variable

Question 12

number of passengers in a bus

Answer 12

Discrete random variable

Question 13

number of patients in a hospital

Answer 13

Discrete random variable

Question 14

A list, a table, a graph, or a formula of probabilities associated with each of its possible values

Answer 14

probability distribution of a discrete random variable

Question 15

In probability distribution of a discrete random variable, what are the two properties?

Answer 15

1. The probability of each outcome is between 0 and 1, inclusive.
2. The sum of all the probabilities of the random variable is equal to 1 or 100%.

Question 16

Construct the probability distribution for the random variable X which pertains to the number of tails in each outcome when tossing two coins.

Answer 16

X 0 1 2
p(x) 1/4 2/4 or 1/2 1/4

Question 17

Another word for AVERAGE. To find this, add all the numbers together and divide by how many numbers are there

Answer 17

MEAN

Question 18

Formula for mean

Answer 18

μ = E(x) = ∑[x•p(x)]

Question 19

Formula for Variance

Answer 19

σ² = Σ [ x²• p(x) ] - μ²

Question 20

Formula for Deviation

Answer 20

σ =√ Σ [ x²• p(x) ] - μ²