Ask Question
MathematicsMathematics
19 December, 09:12

Analysis of historical data shows the probability a machine tool your company produces will fail when installed in a customer's factory is 0.04. Your quality assurance department utilizes sophisticated testing and diagnostic equipment to determine whether a machine tool you produce will function once it is installed in a customer's factory. If the machine tool would function when installed, the probability that quality assurance department testing would indicate the machine tool will fail when installed is 0.08. If the machine tool will fail when installed, the probability that quality assurance testing will indicate the machine tool will fail is 0.97.

What is the probability that machine tool will function when installed given the quality assurance testing indicates the machine tool will function?

+5
Answers (1)
  1. 19 December, 11:48
    0
    0.9986

    Step-by-step explanation:

    Prob (Machine tool actually fails) = 0.04 So, Prob (Machine tool actually functions) = 1 - 0.04 = 0.96 Prob (functional machine tool claimed fail) = 0.08 So, Prob (functional machine tool claimed functional) = 1 - 0.08 = 0.92 Prob (fail machine tool claimed fail) = 0.97 So, Prob (fail machine tool claimed functional) = 1 - 0.97 = 0.03

    Prob A: P [Machine tool indicated (claimed) functional] : - Functional machine tool or fail machine tool claimed functional = (0.96) (0.92) + (0.04) (0.03) = 0.8844

    Prob B: P [Machine tool actually function when passed by QAs] = (0.96) (0.92) = 0.8832

    Prob (A given B) = P (A & B) / P (A)

    = 0.8832 / 0.8844 = 0.9986
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Analysis of historical data shows the probability a machine tool your company produces will fail when installed in a customer's factory is ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
Mike wakes up at 7:00 a. m. and takes a walk for 1 and ½ hours. Then he spends 1 hour and 15 minutes getting ready for work. What time does Mike leave for work? A. 9:00 p. m. B. 9:00 a. m. C. 9:15 a. m. D. 9:30 a. m. E. 9:45 a. m.
Answers (1)
7,080 divided by 12 And (590x5) divided by 2
Answers (1)
The principal is $6000 and the rate of interest is 8% and the time is 3 years. What is the final amount in the account?
Answers (1)
What is the solution to the equation? 15 = - x/5 A. 3 B. 75 C.-75 D. - 3
Answers (1)
Solve the system by substitution 6x+2y=26 x=6y+21
Answers (1)
New Questions in Mathematics
You role a six sided dice what is the probability of rolling 3 then 2
Answers (1)
Find a negative angle that is co-terminal with the angle 158.3
Answers (1)
The formula s = square root of SA/6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters?
Answers (1)
A salesperson at a furniture store earns a 3% commission on all sales. How much commission does the salesperson earn on a $1400 sale?
Answers (1)
Which example correctly identifies a planet that is a gas giant and a planet that is terrestrial? A. Saturn is a gas giant; Neptune is terrestrial. B. Jupiter is a gas giant; Venus is terrestrial. C. Mars is a gas giant; Earth is terrestrial. D.
Answers (1)
Home » Mathematics » Analysis of historical data shows the probability a machine tool your company produces will fail when installed in a customer's factory is 0.04.
Sign Up Forgot Password?