Knowee
Questions
Features
Study Tools

If 20% of the bolts produced by a machine are defective, determine the probability that out of 4 bolts chosen at random, no defective bolt will be found.Group of answer choices10.500.40960.4050

Question

If 20% of the bolts produced by a machine are defective, determine the probability that out of 4 bolts chosen at random, no defective bolt will be found.Group of answer choices10.500.40960.4050

🧐 Not the exact question you are looking for?Go ask a question

Solution

The problem is asking for the probability of not getting a defective bolt in 4 trials.

Step 1: Determine the probability of not getting a defective bolt in a single trial.

Since 20% of the bolts are defective, it means that 80% of the bolts are not defective. So, the probability of not getting a defective bolt in a single trial is 0.80 (or 80%).

Step 2: Determine the probability of not getting a defective bolt in 4 trials.

The probability of not getting a defective bolt in 4 trials is the product of the probabilities of not getting a defective bolt in each trial.

So, the probability of not getting a defective bolt in 4 trials is (0.80)^4 = 0.4096.

Therefore, the probability that out of 4 bolts chosen at random, no defective bolt will be found is 0.4096.

This problem has been solved

Similar Questions

In a bolt factory, machines A, B and C manufacture 25%, 35% and 40% respectively of the total output of bolts. Of their outputs, 5%, 4% and 2% respectively are defective. A bolt is chosen at random from the factory's output and found to be defective. What is the probability that it came from machine B?

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time. A random sample of 7 parts produced by this machine is chosen. Find the probability that at most 2 of these parts are defective.Do not round your intermediate computations, and round your answer to three decimal places.

A manufacturing company is concerned about the number of defective items produced by their assembly line. In the past they have had 5% of their products produced defectively.  They take a random sample of 35 products.  What is the probability that more than 5 products in the sample are defective?                               Group of answer choices0.9941.0.1428.0.0059.0.0041.

A factory produces components of which 10% are defective. Components are packed in boxes of 20. A box is selected at random. What is the probability that the box contains exactly 2 defective components?Question 10Select one:a.0.285b.0.811c.0.715d.0.189

A tray of 20 silicon wafers contains 7 defective wafers. A sample of 3 wafers is randomlyselected from the tray and tested to destruction.Calculate the probability that 2 or more of the wafers selected are defective

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.