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How is it possible to overwrite the expressions without using the modulus sign:
a) |a²|;
b) |a − b|, if a > b;
c) |a − b|, if a < b;
d) | − a|, if a is negative?
What are the possible values of the expression (|x|/x)?
The book of 500 pages contains 50 misprints. Estimate the probability that a randomly selected page contains at least 3 misprints.
In a certain group of people there is 1% of color blind. How big a random sample should be for the probability of presence of at least one color-blind in it was not less than 0.95?
It is known that in average there is 1% of left-handers. Estimate the probability that at least four left-handers will be among:
a) 200 people;
b) 10000 people.
Are there two different characteristic functions that coincide on some interval containing the origin?
How many times should the dice be thrown, so that with the probability 1/2 the amount of dropped points will exceed 100?
The diameter of the circle is measured approximately. Assuming that its value is uniformly distributed on the interval [a, b], find the distribution of the circle square.
While distributing the deck of 52 cards to four players one of them did not get aces three times in a row. Does he have a reason to complain about bad luck?
Observations have shown that in some areas in September there are 12 rainy days in average. What is the probability that out of eight randomly taken days in this month three days will be rainy?
