statistics

A certain defect (D) is present in about 1 out of 1000 cars during production [P(D)=0.001], and a program of testing is to be carried out using a detection device which gives a positive reading with probability 0.99 for a defective car [P(+/D)=0.99] and with probability 0.05 for a non-defective car [P(+/ND)=0.05]. Then if a randomly selected car has a positive reading, find the probability that it actually does have the defect [P(D/+)].

  1. 👍 0
  2. 👎 0
  3. 👁 109

Respond to this Question

First Name

Your Response

Similar Questions

  1. Statistics

    a manufacturing machine has a 8% defect rate. if 5 items are chosen at random, what is the probability that at least one will have a defect

  2. Social Studies

    How long ago was 1000 C.E. ? You would find the answer by A. Subtracting 1000 C.E. from the present year B. Adding 1000 C.E. to the present year Thank you.

  3. math

    Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell five cars; nineteen generally sell six cars; twelve generally sell

  4. algebra (check answer)

    The diameter of a valve for the space shuttle must be within 0.001 mm of 5 mm. Write and solve an absolute-value equation to find the boundary values for the acceptable diameters of the valve. | d - 5.000| = 0.001 d - 5 = 0.001 d

  1. statistic

    A new car was put into production. It involved many assembly tasks. Each car was inspected at the end of the assembly line and the number of defects per unit was recorded. For the first 100 cars produced, there were 40 defective

  2. economic

    6. The table below is a set of hypothetical production possibilities for a nation. Combination Automobiles(thousands) Beef (thousands of tons) A 0 10 B 2 9 C 4 7 D 6 4 E 8 0 a) Plot the production possibility data. What is the

  3. langauge arts

    What is the best way to rewrite the following topic to form a focused thesis statement? Electric cars vs. Cars fueled with gasoline A. Cars fueled with gasoline shouldn't be allowed on the road, especially when electric cars are

  4. statistics

    otorola discovered that the average defect rate for parts produced on an assembly line varies from run-to-run and is approximately normally distributed with a mean equal to 3 defects per million. Assume that the goal at Motorola

  1. statistics

    The Acme Car Company claims that at most 8% of its new cars have a manufacturing defect. A quality control inspector randomly selects 300 new cars and finds that 33 have a defect. Should she reject the 8% claim? Assume that the

  2. Calculus--Please help.

    I really need help, this is my second post. Information to solve problems Q=12L+29L^2-1.1L^3 Q= # of cars produced/year L=# of laborers used per year for production Each car sells for $125. $7000 per laborer per year is cost for

  3. Social studies

    Which of the following accurately describes a surplus? Consumer demand for a certain car is below the number of cars that are produced. The production costs for a certain car are below the sale price of that car. A car company

  4. Math

    3.22 Defective rate. A machine that produces a special type of transistor (a component of computers) has a 2% defective rate. The production is considered a random process where each transistor is independent of the others. (a)

You can view more similar questions or ask a new question.