:Among 20 metal parts produced in a machine shop, 5 are defective. If a random sample...

Question

Question

:Among 20 metal parts produced in a machine shop, 5 are defective. If a random sample of three of these metal parts is selected, find:

1. The probability that this sample will contain at least two defectives?

2. The probability that this sample will contain at most one defective?

Note: Use hypergeometric probability formula

Answer 1

Answer #1

TOPIC:Hypergeometric distribution.

(Answers are rounded to four decimal places.)

Answer 2

Similar Homework Help Questions

A bin of 50 parts contains 5 that are defective. A sample of 10 parts is...

A bin of 50 parts contains 5 that are defective. A sample of 10 parts is selected at random, without replacement. (a) How many different samples of size 10 are there that contain at least three defective parts? (b) How many ways to obtain a sample of 10 parts from the bin of 50? (c) What is the probability of obtaining at least three defectives in a sample of 10 parts?
6) If 10% of the parts produced by a machine are defective, find the probability of...

6) If 10% of the parts produced by a machine are defective, find the probability of at least one defective part in a random sample of five. Use probability notation to solve this problem.
6) If 10% of the parts produced by a machine are defective, find the probability of...

6) If 10% of the parts produced by a machine are defective, find the probability of at least one defective part in a random sample of five. Use probability notation to solve this problem.

Five percent (0.05) of the parts produced by a machine are defective. Twenty(20) parts are selected...

Five percent (0.05) of the parts produced by a machine are defective. Twenty(20) parts are selected at random for study. A. what is the probability that more than 4 parts are defective? B. what is the probability that exactly 3 parts are defective? C. what is the expected number of defective parts in the sample? D. What is the variance and standard deviation of defective parts in the sample?
a bin of 50 parts contains five that are defective. a sample of three parts is...

a bin of 50 parts contains five that are defective. a sample of three parts is selected at random without placement. a. determine the probability that at least two parts in the sample are defective. b. given that at least two parts in the sample are defective, what is the probability that all three are defective
A machine that manufactures automobile parts produces defective parts 13% of the time. If 10 parts produced...

A machine that manufactures automobile parts produces defective parts 13% of the time. If 10 parts produced by this machine are randomly selected, what is the probability that at least 2 of the parts are defective? Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.

If 5% of the parts produced from a manufacturing process are defective, what is the probability...

If 5% of the parts produced from a manufacturing process are defective, what is the probability that there are 30 or more defectives in a random sample of 500 items? a) 0.2475 b) 0.6515 c) 0.1515 d) 0.8485 e) 0.3485
In a batch of 20 television picture tubes, 5 are known to be defective. What is...

In a batch of 20 television picture tubes, 5 are known to be defective. What is the probability that a random sample of 5 (without replacement) will result in each of the following? Exactly 1 defective No defectives Two or fewer defectives
A sample of 200 machined parts is selected from the 1-week production of a machine shop...

A sample of 200 machined parts is selected from the 1-week production of a machine shop that employs three machinists. The parts are inspected to determine whether they are defective, and they are categorized according to which machine did the work. The observed counts are given in Table. We want to determine the independence of defective/nondefective classification and machinist classification at the 1% significance level. Observed (Expected) Cell Counts for Machinist A Machinist B Machinist C Defective 10 8 14...

Approximately 20% of the lightbulbs produced by a company are defective (and the rest are non-defective)....

Approximately 20% of the lightbulbs produced by a company are defective (and the rest are non-defective). Suppose 3 lightbulbs are selected randomly. Let Y be the random variable showing number of defective lightbulbs. a)Complete the following probability distribution given in the following table. (You can use binomial distribution formula) y p(y) 0 0.512 1 2 3 0.008 Find the mean and variance of the above probability distribution