Question: Reconsider the system defect situation described in Exercise 26 (Section 2.2). In Exercise 26 A certain system can experience three different types of defects. Let

Reconsider the system defect situation described in Exercise 26 (Section 2.2).
In Exercise 26
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that
P(A1) = .12 P(A2) = .07 P(A3) = .05
P(A1 ⋃ A2) = .13 P(A1 ⋃ A3) = .14
P(A2 ⋃ A3) = .10 P(A1 ⋂ A2 ⋂ A3) = .01
a. Given that the system has a type 1 defect, what is the probability that it has a type 2 defect?
b. Given that the system has a type 1 defect, what is the probability that it has all three types of defects?
c. Given that the system has at least one type of defect, what is the probability that it has exactly one type of defect?
d. Given that the system has both of the first two types of defects, what is the probability that it does not have the third type of defect?

Step by Step Solution

★★★★★

3.43 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 0612 50 The numerator comes from Exercise 26 b 0112 0833 The numerator ... 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)

1172-M-S-P(10389).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Reconsider the situation described in Exercise 10-5. (a) Test the hypothesis that both machines fill to the same mean volume. Use a = 0.05. (b) What is the P-value of the test in part (a)? (c) If the...

The output here is from the situation described in Exercise 15. There we were trying to link winning percentage (y) to daily practice time (x 1 ), average speed of first serve (x 2 ), and first serve...

Reconsider the situation described in Exercise 6.1. Suppose that several of the preliminary 20 samples plot out of control on the R chart. Does this have any impact on the reliability of the control...

48. Reconsider the system defect situation described in Exercise 26 (Section 2.2). a. Given that the system has a type 1 defect, what is the probability that it has a type 2 defect? b. Given that the...

A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that P(A1) = .12 P(A2) = .07 P(A3) = .05 P(A1 ...

A certain system can experience three types of defects. Let A,(i = 1,2,3) denote the event that the system has a defect of type 'i'. Suppose that P(A) = 0.12 P(A,) = 0.07 P(A,) = 0.05 P(A, U Az) =...

Those are my questions A certain system can experience three different types of defects. Let A, (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following...

Answer b to 4 decimal places A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that P(A1) = 0.36,...

26. A certain system can experience three different types of defects. Let Ai (i 1, 2, 3) denote the event that the system has a defect of type i. Suppose that P(A1) .12 P(A2) .07 P(A3) .05 P(A1 ...

An investor decides to buy EUR 25,000,000 of an annual bond with a coupon of 2.125%, with exactly 5 years to maturity and giving a yield to maturity of 1.69%. (a) calculate the price of the bond. Do...

(a) For a converging lens with a focal length of 3.50 cm, find the object distance that will result in an inverted image with an image distance of 5.00 cm. Use a ray diagram to verify your...

12.54 A dandruff study. Analysis of variance methods are often used in clinical trials where the goal is to assess the effectiveness of one or more treatments for a particular medical condition. One...

33. Which statement is true? (LO 1 , 2 ) a) If we redistributed income every year so that everyone would get the same amount, this would hurt the effi ciency of our economy. b) Virtually everyone...

Refer to Exercise 7.30. Suppose that there are two machines available for cutting corks. The machine described in the preceding problem produces corks with diameters that are approximately normally...

A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the variable x 5 actual capacity of a randomly selected tank has a distribution that is well approximated by a...

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 120 seconds and a standard...

Suppose that you wanted to buy a new Honda Civic and you want to wait until you can get a good deal. You want to see if the usual/average price of a Honda Civic is below the blue book value of...

A father's will leave R30 000 in a trust for three children aged 5,8 and 10, with direction that each child should receive an equal amount at age 21 . If the trust earns interest at 3% p.a....

You just graduated from college and are starting your new job. You realized the importance to save for the future and have figured out that you will save $ 3 , 0 0 0 per month for the next 1 0 years;...