Question

A factory produces components of which 1% are defective. The components are packed in boxes of...

A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random.

a) Find the probability that there are at most 2 defective components in the box.  

b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.

Homework Answers

Answer #1

a.

b.

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A factory produces components of which 1% are defective. The components are packed in boxes of...
A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random. a) Find the probability that there are at most 2 defective components in the box.   b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.
QUESTION 5- A factory produces pins of which 1.5% are defective. The components are packed in...
QUESTION 5- A factory produces pins of which 1.5% are defective. The components are packed in boxes of 12. A box is selected at random. (1) n = (2) p = (Round to four decimal places) (3) q = (Round to four decimal places) Find the following probabilities (Round ALL answers to four decimal places): 4) The box contains exactly 6 defective pins 5) The box contains at least one defective pins 6) The box contains no more than two...
In a certain factory, Machine A makes 50% of the components, with 1 in 15 being...
In a certain factory, Machine A makes 50% of the components, with 1 in 15 being defective. Machine B produces 25%, with 1 in 10 being defective. Machine C produces the rest, with 1 in 20 being defective. (a) Complete the probability table for this scenario using the given template. (b) What is the probability that a defective component is produced? (c) If a component is selected at random and found to be defective, what is the probability it was...
Ceramics in a factory are manufactured in lots of 200 and 3% are defective. Assume the...
Ceramics in a factory are manufactured in lots of 200 and 3% are defective. Assume the pieces are independent. Use the normal approximation to the binomial with the continuity correction to find the probability more than 10 are defective. 0.031 (Correct) And, use the normal approximation to the binomial with the continuity correction to find the probability there are between 4 and 8 defects, inclusive. 0.5832 (incorrect) I try the second question but my answer is in correct.
1. Suppose that a shipment of 120 electronics components contains 10 defective components. If the control...
1. Suppose that a shipment of 120 electronics components contains 10 defective components. If the control engineer selects 6 of these components at random and test them a. What is the probability that exactly 3 of those selected are defective? What is the probability that exactly 4 of those selected are not defective? b. What is the probability that at least 3 of those selected are defective? c. What is the probability that fewer than 4 selected are not defective?
a factory produces the same number of good and defective products, 3 are selected randomly and...
a factory produces the same number of good and defective products, 3 are selected randomly and are inspected. what are the odds of obtaining: 1) 2 defective products 2) at most 2 defective products 3) no defective products 4) at least 1 defective product 5) 3 defective products
In a factory, computer hard drives are collected in boxes containing 40 hard drives each. A...
In a factory, computer hard drives are collected in boxes containing 40 hard drives each. A box has 6 defective hard drives, and 34 hard drives which are not defective. A quality control inspector randomly selects 3 hard drives in that box. Consider the discrete random variable X defined as the number of defective hard drives the inspector selects. Find the probability mass function pX of X. Sketch the corresponding cumulative distribution function F
A box consists of 16 components, 6 of which are defective. (a) Components are selected and...
A box consists of 16 components, 6 of which are defective. (a) Components are selected and tested one at a time, without replacement, until a non-defective component is found. Let X be the number of tests required. Find P(X = 4). (b) Components are selected and tested, one at a time without replacement, until two consecutive non defective components are obtained. Let X be the number of tests required. Find P(X = 5).
One factory produces 20 identical pencils per minute, 3 of which come out defective. A worker...
One factory produces 20 identical pencils per minute, 3 of which come out defective. A worker makes a random choice by drawing two pencils. Find as follows; (a) Which are the values of the Variable X (random choice)? (b) Find the probability of the Random Variable X (the probabilistic distribution f(x) for the number of defectives). Construct the proper table. (c) Find the discrete distribution function F(x) of discrete random variable X with probabilistic distribution f (x). Construct the proper...
A tray of electronic components contains 22 components, 4 of which are defective. If 4 components...
A tray of electronic components contains 22 components, 4 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.) (a) that all 4 are defective (b) that 3 are defective and 1 is good    (c) that exactly 2 are defective    (d) that none are defective
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT