Math

posted by .

The weights of individual nails produced by the 'Hammer 'n Nail' hardware company follow a normal distribution with the average nail weight being 5.1 grams and the standard deviation in nail weight being 1.6 grams. When a nail is produced it is discarded if it weighs more than 8.268 grams. Calculate the probability that a randomly selected nail is not discarded. Give your answer as a decimal to 4 decimal places.

Probability =

  • Math -

    Z = (score-mean)/SD = (8.268-5.1)/1.6 = ?

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics warming a nail

    2.) Pounding a nail into wood makes the nail warmer. Consider a 5-g steel nail 6 cm long and a hammer that exerts an average force of 500 N on the nail when it is being driven into a piece of wood. The nail becomes hotter. Show that …
  2. Physics

    The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 13 g nail when it is struck by a 550 g hammer moving with an initial speed of 4.0 m/s. I solved for …
  3. Physics

    The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 13 g nail when it is struck by a 550 g hammer moving with an initial speed of 4.0 m/s. I solved for …
  4. statistics

    The weights of individual nails produced by the 'Hammer 'n Nail' hardware company follow a normal distribution with the average nail weight being 5.1 grams and the standard deviation in nail weight being 1.6 grams. When a nail is produced …
  5. Physics

    A 12 kg hammer strikes a nail at a velocity of 8.2 m/s and comes to rest in a time interval of 0.0083 s. 1. What is the impulse given to the nail?
  6. physics

    The figure below shows a claw hammer being used to pull a nail out of a horizontal board where θ = 32.2°. The mass of the hammer is 1.00 kg. A force of 125 N is exerted horizontally as shown, and the nail does not yet move relative …
  7. physics

    A hammer with 10 J of kinetic energy hits a nail and pushes it 5.0 mm into a plank. Both the hammer and nail come to rest after the collision. What is the average force that acts on the nail while it moves the 5.0 mm?
  8. Science

    A hammer with a 500-g head exerts an average force of 810n on a nail speed as it drives the nail 4 mm into wall. What was the speed of the hammer head when it hit the nail?
  9. physics

    When a hammer strikes a nail, it is compressed along its length. Suppose that a steel nail 10.00 cm long and 3.00 mm in diameter is compressed an average of 65.0 µm by a 0.460 kg hammer during a 1.20 ms collision. (a) What average …
  10. Physics

    When a hammer strikes a nail, it is compressed along its length. Suppose that a steel nail 9.00 cm long and 3.00 mm in diameter is compressed an average of 65.0 µm by a 0.490 kg hammer during a 1.20 ms collision. a) What is the average …

More Similar Questions