# Math

posted by .

3.22 Defective rate. A machine that produces a special type of transistor (a component of

computers) has a 2% defective rate. The production is considered a random process where each

transistor is independent of the others.

(a) What is the probability that the 10th transistor produced is the first with a defect?

(b) What is the probability that the machine produces no defective transistors in a batch of 100?

(c) On average, how many transistors would you expect to be produced before the first with a

defect? What is the standard deviation?

(d) Another machine that also produces transistors has a 5% defective rate where each transistor

is produced independent of the others. On average how many transistors would you expect to

be produced with this machine before the first with a defect? What is the standard deviation?

(e) Based on your answers to parts (c) and (d), how does increasing the probability of an event

affect the mean and standard deviation of the wait time until success?

## Similar Questions

1. ### statistics

a machine used in a production process is set up correctly 97% of the time. Given that the machine is set up correctly, only 5% of the items it produces are defective, while 95% are not defective. On the other hand, if the machine …
2. ### math1

(ii) A factory has two machines. Past records show that the first machine produces 40% of output and the second machine produces 60% of output. Further 4% and 2% of the products produced by the first machine and the second machine …
3. ### statistics

A machine used in a production process is set up correctly 97% of the time. Given that the machine is set up correctly, only 5% of its items it produces are defective, while 95% are not defective. On the other hand, if the machine …
4. ### Math

A factory has 3 machines that produce the same item. Machines 1 and 2 each produce 30% of the total output, while machines 3 produce 40%. It is known that 6% of Machine 1's output is defective, while machine 2 produces 5% defective …
5. ### stats

Suppose a shipment of 500 machine parts contains 62 defective and 438 non-defective machine parts. From the shipment you take a random sample of 25. You are interested in the number of defective machine parts out of 25 trials and corresponding …
6. ### statistics

a machine has 0.04 probability of producing a defective item. If it produces 6 items find: a. probability none is defective b. at least one is defective c. all are defective
7. ### statistics

A factory finds out that on the average 20% of bolts produced by the given machine will be defective.if 10 bolts are selected at random from the day's production of this machine,find the probability that 1.exactly 2 will be defective. …
8. ### math

A factory finds out that on the average 20% of bolts produced by the given machine will be defective.if 10 bolts are selected at random from the day's production of this machine,find the probability that 1.exactly 2 will be defective. …
9. ### math

A factory finds out that on the average 20% of bolts produced by the given machine will be defective.if 10 bolts are selected at random from the day's production of this machine,find the probability that 1.exactly 2 will be defective. …
10. ### stats

shipment of 30 computers, 8 are defective. Four computers are chosen at random. Find the probability that: a)Exactly two are defective b)None are defective c)At most two are defective

More Similar Questions