An alloy foundry creates helicopter rotor heads in aluminum and magnesium. It is

Question

An alloy foundry creates helicopter rotor heads in aluminum and magnesium. It is very important that there are not too much gas pores in the rotor heads. Each rotor head is therefore tested by X-ray beam to control the amount of gas pores. If there are gas pores in the rotor head, the probability that the test will indicate it is 0.9653. The test will indicate, with a probability of 0.0233, that there are gas pores in the rotor head if there are no gas pores in the rotor head. The probability that there will be gas pores in the rotor head is 0.1528. What is the probability that there are gas pores in the roto head if the test indicates that it is?

Explanation / Answer

probability that test indicates that there is gas pores =P(there is gas pores and test indicates+there is no gas pores and test indiacates)=0.1528*0.9653+(1-0.1528)*0.0233 =0.167238

hence probability that there are gas pores in the roto head if the test indicates that it is

=P(there is gas pores and test indicates)/P(test indicates) =0.1528*0.9653/0.167238=0.881966

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.