p=0.10, n=5
Here x follows Binomial distribution and it is given by:
Probability that at least one P(x>=1)=1-P(x<1)
P(x>=1)=1-0.0778=0.9222
# Probability that at least one defective is 0.9222
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.
: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
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 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.
The probability that a part produced by a certain factory's assembly line will be defective is 0.025. Suppose a sample of 130 parts is taken. Find the following probabilities by using the normal curve approximation to the binomial distribution. Use the table of areas under the standard normal curve given below. The probability that exactly 2 parts will be defective is ____. (Round to four decimal places as needed.) The probability that no parts will be defective is _____. (Round...
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
The probability that a part produced by a certain factory's assembly line will be defective is 0.007. Find the probabilities that in a run of 40 items, the following results are obtained. (a) Exactly 3 defective items No defective items (c) At least 1 defective item a. The probability that exactly 3 parts will be defective is (Round to four decimal places as needed.) b. The probability that no parts will be defective is (Round to four decimal places as...
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?
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
When a particular machine is functioning properly, 75% of the items produced are non-defective. If eight items are examined, what is the probability that one is defective? If eight items are examined, what is the probability that exactly three are non-defective? If eight items are examined, what is the probability that at least 6 are non-defective?