# Probability theory

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1. In a trading company received three TV manufacturing companies in the ratio of 2: 5: 3. TV coming from the first company, in need of repair during the warranty period, in 15% of cases of the second and third - respectively 8% and 6% of cases. Find the probability that received by the trading firm TV need repair during the warranty period.
2. Dana function F =
Find the variance.
3. Investment Analyst collects data about the actions and notes whether paid dividends on them or not, and increased share price for the period of interest to him. The data collected are presented in the following table:
Dividends increased price has not increased Total Price
Produce
Not to produce 51
97 83
72134
169
Total 148 155 303
Knowing that the event has grown and grown the probability that the price increase is equal to price. Find the probability that it also paid dividends.
4. textbook published edition 90 000 copies. The likelihood that the textbook is defective 0.00008. Find the probability that at least 9998 books stitched correctly.
5. subscription service delivered 5 TVs. It is known that the expected number of failures in a year for five television is one. If TVs have the same probability of failure-free operation, what is the probability that the year will require at least one repair?