Basic concepts of probability theory
Hereinafter, instead of speaking the set of conditions Sholds we shall speak briefly: the trial
has been made. Thus, an event will be considered as a result of a trial.
Example.A shooter shoots in a target su
LECTURE 4. Independent events
An event B is said to be independent from an eventA if appearance of the event A
does not change the probability of the event B, i.e. if the conditional probability of the
event B is equal to its unconditional probability:
1. A collector has received 3 boxes of details made by the factory 1, and 2 boxes
of details made by the factory 2. The probability that a detail of the factory 1
is standard is equal to 0,8, and the factory 2 0,9. The collector has randomly
extracted a d
The concept of a process, operations on processes, process states, concurrent
processes, process control block, process context.
Informally, as mentioned earlier, a process is a program in execution. A process is more
than the program code, whi
INTERNATION INFORMATION TECHNOLOGY UNIVERSITY
FACULTY OF INFORMATION TECHNOLOGY
CHAIR OF LANGUAGES
V.Yermakova, B.Jolamanova, M.Vasques
TERMINOLOGICAL MINIMUM FOR STEM STUDENTS
PEOPLE IN IT
The concept of sets is the fundamental in mathematics. A set can be thought as a collection (assemblage,
aggregate, class, family) of objects. A set is defined if there is a definite method to determine whether an
Limit of Sequence. Limit of Function.
1. SEQUENCE. LIMIT OF SEQUENCE.
Definition. Suppose that there is a correspondence between each positive integer n and some real number
denoted, for instance, by x n . In this case, one says that a numerica
A function y f (x ) whose graph can be sketched over any interval of its domain with one continuous motion
of the pencil is an example of a continuous function.
Definition. A function y = f(x) is called continuous at a point
1. By the statistical data of a repair shop 20 stops of a lathe are on the average: 10
for change of a cutter; 3 because of malfunction of a drive; 2 because of
delayed submission of details. The rest stops occur for other reasons. Find the
1. A die is tossed. Find the probability that the upper side of the die shows:
a) six aces; b) an odd number of aces;
c) no less than four aces; d) no more than two aces.
2. The first box contains 5 balls with numbers from 1 up to 5, and the second 5
1. There are details in two boxes: in the first 10 (3 of them are standard), in the
second 15 (6 of them are standard). One takes out at random on one detail from
each box. Find the probability that both details will be standard.
2. What is the probabilit
There are two common ways to approach writing essays,
either an argument-led approach or thesis-led
Consider the following two examples:
These days we are producing more and more rubbish. Why
do you think this is happening? What can governments
1. How many different 7-place codes for license plates are possible if the first 3
places are to be occupied by letters of Latin alphabet and the final 4 by numbers?
2. 10 persons participate in competitions, and three of them will take the first,