Your manufacturing plant produces air bags, and it is known that 10% of them are defective. Five air bags are tested. Compute the probability distribution of the binomial variable described above, and use it to compute the probability that if five air bags are tested, at least one will be defective and at least one will not.

It has been determined that there is a 75% chance of a person using their seatbelt when sitting in the back seat of a car. If 8 people leave a party and take cabs home, which of the following would be used to find the probability that 6 of them use their seatbelt when sitting in the back seat?

A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, what is the probability that he or she will contract the disease?

A PC manufacturer buys 38% of its chips from Japan, and the rest from the US. Of the Japanese chips, 1.7% are defective; meanwhile, 1.1% of the American chips are defective. Find the probability that a chip is defective.

Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction

If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?

You roll three 5-sided dice simultaneously(each with an equal probability of landing on each number 1 though 5). What is the expected value of the smallest of the three dice?

On the average the traffic pattern at an intersection is as follows: • Twice as many cars go through as the number of vans, bicycles and trucks combined. • Twice as many vans go through as the number of bicycles and trucks combined. • Half as many trucks go through as the number of bicycles. Calculate the probability that the next vehicle to go through is a truck or a car. (19/27)

A survey of randomly selected 10000 college faculty members shows that 50% of the faculty own a car, 25% own a bicycle, and 9% own both. Find the probability that a faculty member chosen at random owns a car or a bicycle (or both).

A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?