The machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. What is the probability that the machine will fail during the year?

A machine operates only when all of its three components function. The probabilities of the failures of the first, second and third components are 0.14,0.10 and 0.05 respectively. What is the probability that the machine will fail.

The probability that certain electronic component fail, when first used is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99. What is the probability that a new component will last for one year?

A certain component of an electronic device has a probability of 0.1 of failing. If there are 6 such components in a circuit, what is the probability that at least one fails?

If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is

If the probability for A to fail in an examination is 0.2 and that for B is 0,3 , then the probability that either A or B fails is

In a class of 75 students, 15 are above average, 45 are average and the rest below average achievers. The probability that an above average achieving student fails is 0.005, that an average achieving student fails is 0.05 and the probability of a below average achieving student failing is 0.15. If a student is known to have passed, what is the probability that he is a below average achiever?

In a class of 75 students, 15 are above average, 45 are average and the rest below average achievers. The probability than an above average achieving student fails is 0.005, that an average achieving student fails is 0.05 and the probabilit of a below average achieving students failing is 0.15. If a student is known to have passed, what is the probability that he is a below average achiever?

In a hospital, there are 20 kidney dialysis machines and that the chance of any one of them to be out of service during a day is 0.02. Determine the probability that exactly 3 machines will be out of service on the same day.

Two coils each of 100 turns are held such that one lies in vertical plane and the other in the horizontal plane with their centres coinciding. The radius of the vetical coil is 0.20m and that of the horizontal coil is 0.30m. How will you neutralize the magnetic field of the earth at their common centre? What is the current to be passed through each coil? Horizontal component of earth's magnetic field =0.35xx10^-4T and angle of dip = 30^@ .

An item is manufactured by three machines A, B and C. Out of the total member of items manufactured during a specified period, 50% are manufactured on A, 30% on B and 20% on C. 2% of the items produced on A and 2% of items produced on B are defective and 3% of these produced on C are defective. All the items are stored at one godown. One item is drawn at random and is found to be defective. What is the probability that it was manufactured on machine A?