Question

If a part on a production line is present in an inspection area, a sensor detects...

If a part on a production line is present in an inspection area, a sensor detects it with probability 0.99. If a part is not present, the sensor generates a false alarm with probability 0.02. Assume that the probability of a part being present is 0.1.

a) What is the probability of seeing a false alarm?

b) What is the probability of having a missed detection?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Ans:

P(alarm/part present)=0.99

P(alarm/part not present)=0.02

P(part present)=0.1

a)

P(seeing a false alarm)=P(alarm and part not present)

=P(alarm/part not present)*P(part not present)

=0.02*(1-0.1)

=0.018

b)

P(alarm)=P(alarm/part present)*P(part present)+P(alarm/part not present)*P(part not present)

=0.99*0.1+0.02*(1-0.1)

=0.117

P(do not alarm)=1-0.117=0.883

P(missed detection)=P(part present/do not alarm)

=P(do not alarm/part present)*P(part present)/P(do not alarm)

=(1-0.99)*0.1/0.883

=0.00113

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If a part on a production line is present in an inspection area, a sensor detects...
If a part on a production line is present in an inspection area, a sensor detects it with probability 0.99. If a part is not present, the sensor generates a false alarm with probability 0.02. Assume that the probability of a part being present is 0.1. a) What is the probability of seeing a false alarm? b) What is the probability of having a missed detection?
A sensor is used to monitor the performance of a nuclear reactor. The sensor accurately reflects...
A sensor is used to monitor the performance of a nuclear reactor. The sensor accurately reflects the state of the actor with probability of .97. But with a probability of .02, it gives false alarm, ( by reporting excessive radiation even though the reactor is performing normally, and with a probability of .01, it misses excessive radiation ( by failing to report excessive radiation even though the reactor is performing abnormally). a) what is the probability that a sensor will...
1. Answer EITHER part (a) OR part (b). (a) A gas scrubber on an oilrig discharged...
1. Answer EITHER part (a) OR part (b). (a) A gas scrubber on an oilrig discharged gas periodically such that an accumulation of hydrocarbon gas nearby had occurred. A contractor welder was dispatched to a job immediately adjacent to the area and it being a shift change and personnel unavailable temporarily, the welder decided to commence welding. As a consequence, an incident occurred. Describe briefly: (i) what you imagine was the incident including any hazards existing prior to or during...
A bridge is to be constructed as part of a new road. An analysis has shown...
A bridge is to be constructed as part of a new road. An analysis has shown that traffic density on the new road will justify a two-lane bridge at the present time. Because of uncertainty regarding future use of the road, the time at which an extra two lanes will be required is currently being studied. The estimated probabilities of having to widen the bridge to four lanes at various times in the future are as follows. The present estimated...
Multiple Choice Select the best answer from the available choices for each question. Which of the...
Multiple Choice Select the best answer from the available choices for each question. Which of the following is NOT part of the definition of a sample space S? S can be discrete or continuous Each outcome must be in S at most once Each element in S is equally likely Each outcome must be in S at least once S is a set of possible outcomes in an experiment Three A’s, three B’s, and two C’s are arranged at random...
Suppose you have been hired as a financial consultant to Defense Electronics, Inc. (DEI), a large,...
Suppose you have been hired as a financial consultant to Defense Electronics, Inc. (DEI), a large, publicly traded firm that is the market share leader in radar detection systems (RDSs). The company is looking at setting up a manufacturing plant overseas to produce a new line of RDSs. This will be a five-year project. The company bought some land three years ago for $4.4 million in anticipation of using it as a toxic dump site for waste chemicals, but it...
Suppose you have been hired as a financial consultant to Defense Electronics, Inc. (DEI), a large,...
Suppose you have been hired as a financial consultant to Defense Electronics, Inc. (DEI), a large, publicly traded firm that is the market share leader in radar detection systems (RDSs). The company is looking at setting up a manufacturing plant overseas to produce a new line of RDSs. This will be a five-year project. The company bought some land three years ago for $3.9 million in anticipation of using it as a toxic dump site for waste chemicals, but it...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities where tires were made and another 20 facilities for various components and materials used in tires. Each manufacturing facility produced 10,000 tires every hour. Quality had always been emphasized at BridgeRock, but lately quality was a bigger issue because of recent fatal accidents involving tires made by other manufacturers due to tread separation. All tire manufacturers were under pressure to ensure problems did not...
QUESTION 1 1. Brianna is trying to increase her chances of being promoted to vice president...
QUESTION 1 1. Brianna is trying to increase her chances of being promoted to vice president by working to build good work relationships with other managers outside her own department. Brianna's behavior should be viewed as dysfunctional politics. functional politics. coercive power. functional influence. 2 points QUESTION 2 1. The Gingerbread Factory has a separate unit that makes their chocolate crunch cookies and another unit that is completely responsible for all operations in producing their ginger snap cookies. The Gingerbread...
________ client-centered therapy centers on the patient's goals and ways of solving problems. Select one: a....
________ client-centered therapy centers on the patient's goals and ways of solving problems. Select one: a. Rogers' b. Freud's c. Beck d. Ellis Question 2 Not yet answered Points out of 1.00 Flag question Question text A frequently prescribed drug therapy for managing one's depression is ____________. Select one: a. Adderall b. Lithium c. Prozac d. Thorazine Question 3 Not yet answered Points out of 1.00 Flag question Question text A major goal of modern inpatient psychiatric treatment is: Select...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT