Question: A machine produces defective parts with three different probabilities depending on its state of repair. If the machine is in good working order, it produces

A machine produces defective parts with three different probabilities depending on its state of repair. If the machine is in good working order, it produces defective parts with probability 0.02. If it is wearing down, it produces defective parts with probability 0.1. If it needs maintenance, it produces defective parts with probability 0.3. The probability that the machine is in good working order is 0.8, the probability that it is wearing down is 0.1, and the probability that it needs maintenance is 0.1. Compute the probability that a randomly selected part will be defective.

Step by Step Solution

★★★★★

3.42 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We partition the space of possibilities into three ev... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

602-M-S-P (5173).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Suppose that a machine produces parts that are defective with probability P, but P is unknown. Suppose that P has a continuous distribution with p.d.f. Conditional on P = p, assume that all parts are...

A machine produces parts continuously throughout the day with an overall defect rate of 0.80%. Periodically a random sample of 50 parts is sampled, and if 3 or more are found to be defective the...

Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300,...

Due Sunday, 11/20: Problems from Zimmerman text: 2-11, 2-44, Case 2-3, 7-7, and 7-20 Chapter Two The Nature of Costs Chapter Outline A. Opportunity Costs 1. Characteristics of Opportunity Costs 2....

Unit 2: Designing the Operations Designing the operations of an organization or your department - precedes operational management. For .ll _ . example, suppose a wallet manufacture's mission is to '...

Consider a drilling machine in a factory. It could be in one of three different states: G, in which it is working normally (making good parts); B in which it is working but producing bad parts; or D,...

This is the tape of brief example Clarkson v. Orkin Exterminating Co ., Ine, Facts: Mrs. Clarkson purchased a house that Orkin had contracted with her predecessor in title to retreat the house in the...

Please i need Help with question 1,2,8,14,16,28,31 144 CHAPTER 3 PROBABILITY 35. Security System The access code for a garage door consists of three digits. Each digit can be 0 through 9 and each...

HI Team, I need you to do legal opinion writing with the given scenario above. Analyse the relevant facts given above by client or witnesses and apply relevant legal principles to the established...

5. An item is subjected to a series of n tests (e.g. hardness, weight, etc.). Associated with the i-th test are two known constants: K; the cost per item of carrying out the i-the test, and R; the...

Using the information provided in E8- 13, prepare the journal entries for each year to record the contract assuming that Gary uses the completed- contract method ( show all supporting computations)....

What is the conjugate base forHCH 3 CO 2 and the conjugate base forH 3 PO 4 ? Write the chemical equation for how each of the followingbehaves in water . Include states-of-matter underthe given...

is time - stamped information collected at a particular frequency. Metadata Data replication Discovery Time - Series information Clustering

Do you think call center outsourcing negatively affects customer service? Explain.

Consider again the plastic bending capabilities discussed in Problem 2.2.8. What is the expected deformity angle? What is the median deformity angle? Problem 2.2.8 The bending capabilities of plastic...

Consider again the archery problem discussed in Problem 2.2.9. What is the expected deviation from the center of the target? What is the median deviation? Problem 2.2.9 An archer shoots an arrow at a...

Prove that a continuous random variable with a probability density function that is symmetric about a point n has an expected value equal to the point of symmetry .

Royal Dutch Shell PLC (ticker: RDS) is a large, multinational oil company. The firm is preparing to purchase a semi-submersible oil production platform for $17 million. Additionally, it is going to...

The following are spot rates for zero coupon bonds, face value $100,000. Maturity 1 year 2 years 3 years 4 years 5 years Spot rate (%) 7.0 6.5 6.0 5.5 5.0 A bond trader is planning to sell his 5-year...

. This quiz: 19 pointls) possible Question 9 Of 19 > This question: 1 pointls) possible $33 A clinical test on humans of a new drug is normally done in three phases. Phase I Is conducted With a...