Question

20% of the bolts by a machine are defective. Determine the probability that out of 7...

20% of the bolts by a machine are defective. Determine the probability that out of 7 bolts chosen at random that ...

a. ... one is defective?

b. ... two or more are defective?

Homework Answers

Answer #1

The number of defective bolts out of the 7 selected here could be modelled as:

a) Probability that one of the bolt is defective is computed here as:

Therefore 0.3670016 is the required probability here.

b) Probability that two or more are defective is computed here as:

Therefore 0.4232832 is the required probability here.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
in the mass production of bolts it is found that 5% are defective. bolts are selected...
in the mass production of bolts it is found that 5% are defective. bolts are selected at random and put into packets of 10. a. if a packet is selected at random ,find the probability that it will contain three defective bolts less than three defective bolts b. two packets are selected at random . find the probability that there are no defective bolts in either packet (SOLVE USING BINOMIAL DISTRIBUTION )
A machine produces an average of 10% defective bolts. A batch is accepted if a sample...
A machine produces an average of 10% defective bolts. A batch is accepted if a sample of 5 bolts take from that batch contains no defective, and rejected if the sample contains 3 or more defectives. In other cases, a second sample is taken. a) What is the probability that the second sample will be required? b) What is the probability that the sample is rejected? c) If 15 bolts are taken from a batch, how many bolts are expected...
An automatic CNC machine produces bolts which are stamped out of a length of metal. Various...
An automatic CNC machine produces bolts which are stamped out of a length of metal. Various faults may generally occur during the production process, such as, the heads or the threads may be incorrectly formed, the length might be incorrect, and so on. Assuming that 4 bolts out of every 100 produced are defective in some way. If a sample of 50 bolts is drawn at random, then the manufacturer might be satisfied that his defect rate is still 4%...
A company has 2 machines that produce widgets. An older machine produces 20% defective widgets, while...
A company has 2 machines that produce widgets. An older machine produces 20% defective widgets, while the new machine produces only 6% defective widgets. In addition, the new machine produces 75% of widgets in the company. Given a random chosen widget was tested and found defective, what is the probability it was produced by the new machine?(Hints: you may use a probability tree as assistance to obtain the answer) Select one: 0.526 0.095 0.045 0.474
Among 20 metal parts produced in a machine shop, 5 are defective. If a random sample...
Among 20 metal parts produced in a machine shop, 5 are defective. If a random sample of three of these metal parts is selected, find: The probability that this sample will contain at least two defectives? The probability that this sample will contain at most one defective?
A factory production line is manufacturing bolts using three machines, A, B and C. Of the...
A factory production line is manufacturing bolts using three machines, A, B and C. Of the total output, machine A is responsible for 25%, machine B for 35% and machine C for the rest. It is known from previous experience with the machines that 5% of the output from machine A, 4% from machine B and 2% from machine C is defective. A bolt is chosen at random from the production line and found to be  non - defective. What is...
A factory production line is manufacturing bolts using three machines, A, B and C. Of the...
A factory production line is manufacturing bolts using three machines, A, B and C. Of the total output, machine A is responsible for 25%, machine B for 35% and machine C for the rest. It is known from previous experience with the machines that 5% of the output from machine A, 4% from machine B and 2% from machine C is defective. A bolt is chosen at random from the production line and found to be non - defective. What...
A factory manufactures machines. Each machine is defective with probability 1/100, independently. The machines get numbered...
A factory manufactures machines. Each machine is defective with probability 1/100, independently. The machines get numbered 1, 2, . . . as they’re produced (a) Out of machines 1, . . . , 1000, what is the probability that none are defective? (b) Out of machines 1, . . . , 1000, what is the probability that two or fewer are defective? ( c) Out of machines 1, . . . , 1000, what is the probability that exactly ten...
The probability that a machine producing electric circuits makes a defective circuit is 0.03 for any...
The probability that a machine producing electric circuits makes a defective circuit is 0.03 for any circuit produced by the machine. Determine the probability that the machine makes 20 circuits before the 3rd defective circuit is produced.
In a random experiment each success and failure has a certain probability of occurrence. This probability...
In a random experiment each success and failure has a certain probability of occurrence. This probability can be used to find overall probability of the required outcome. Consider a similar scenario in which a machine shop orders 500 bolts from a supplier. To determine whether to accept the shipment of bolts, the manager of the facility randomly selected 12 bolts. If none of the 12 randomly selected bolts is found to be defective, he can conclude that the shipment is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT