Over the apst 200 working days, the number of defective parts produced by a machine is given in the following table:
Determine the probability that tommorow's output will have
at least one defective part.

Over the apst 200 working days, the number of defective parts produced by a machine is given in the following table: Determine the probability that tommorow's output will have more than 13 defective parts.

Over the apst 200 working days, the number of defective parts produced by a machine is given in the following table: Determine the probability that tommorow's output will have not more than 5 defective parts.

Over the apst 200 working days, the number of defective parts produced by a machine is given in the following table: Determine the probability that tommorow's output will have no defective part.

An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the following table: Find the probabilities of the following events for a driver chosen at random from the city: having no accidents in one year.

An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the following table: Find the probabilities of the following events for a driver chosen at random from the city: being 30-50 years of age and having one or more accidents in a year.

An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the following table: Find the probabilities of the following events for a driver chosen at random from the city: being 18-29 years of age and having exactly 3 accidents in one year.

In a hospital, there are 5 dialysis machine. The chance of any one of them being defective during a day is 1/10 . Find the probability that two machines will be out of order on the same day. What is the probability that at least one machine is in working order? Is this situation alright for a small hospital?

A manufacturer has three machines I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for at least 5 hours a day. She produces only two items M and N each on the three machines are given in the following table: SHe makes a profit of Rs 600 and Rs 400 on items M and N respectively. How many of each item should she produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum Profit?

A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% of the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B?

Three machines E_1, E_2, E_3 in a certain factory produce 50%, 25% and 25% respectively of the total daily output of electric tubes. It is known that 4% of the tubes produced by each of machines E_1 and E_2 are defective, and that 5% of those produced on E_3 are defective. If one tube is picked up at random from a day's production, calculate the probability that it is defective.