1.A restaurant offers a choice of four appetizers, fourteen entrees, six desserts, and five beverages. How many different meals are possible if a diner intends toorder only three courses? (Consider the beverage to be a "course.")

2.Six men and four women work in the workshop. Seven people were randomly selected by personnel numbers. Find the likelihood that three women will be among the selected individuals.

3.. For the manufacture of parts requires three basic operations. The probability of a defect in the first operation is 0.01, in the second - 0.02, in the third - 0.025. Find the probability of manufacturing a standard part, provided that the appearance of marriage in certain operations is independent

4.. Parts for processing come from two procurement workshops: from the first workshop - 70%, from the second - 30%, with the products of the first workshop having 10% defective products and the products of the second workshop having 20% defective products. What is the likelihood that a randomly taken part will be free of defects?

5.. On average, every 4 out of ten graduates (bachelors) of this university continue their studies at the magistracy. Interviewed 5 randomly selected graduates. What is the likelihood that three of them will then graduate?

6.In a survey conducted by the Society for Human Resource Management, 68% of workers said that employers have the right to monitor their telephone use. When the same workers were asked if employers have the right to monitor their cell phone use, the percentage dropped to 52%. Suppose that the 20 workers are asked if employers have the right to monitor cell phone use. What is the probability that:

a. 5 or less of the workers agree?

b. 10 or less of the workers agree?

c. 15 or less of the workers agree?

7 The length of the room is measured with a rough division tape measure - 10 cm. Rounding is done to the nearest division. Random value X- measurement error. Find and to picture: f(x); F(x); m_x; _x.