Question
In: Statistics and Probability
A manufacturing process produces 6.6% defective items. What is the probability that in a sample of...
A manufacturing process produces 6.6% defective items. What is the probability that in a sample of 40 items: a. 12% or more will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability
b. less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability
c) more than 12% or less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability
Solutions
Expert Solution
Given : n=40 , p=6.6%=0.066 , q=1-p=0.934
By using the normal approximation ,
a) Now ,
; From standard normal probability table
Therefore , the probability that the 12% or more will be defective is 0.0853
b) Now ,
; From standard normal probability table
Therefore , the probability that less than 2% will be defective is 0.1210
c) Now ,
; From standard normal probability table
Therefore , the probability that more than 12% or less than 2% will be defective is 0.2063
orchestra answered 1 year agoRelated Solutions
The number of defective items in a manufacturing process is an example of _________ data. a...
The number of defective items in a manufacturing process is an
example of _________ data.
a
discrete
b
continuous
A manufacturing lot contains 40 items. It is known that 6 items are defective. A quality...
A manufacturing lot contains 40 items. It is known that 6 items
are defective. A quality assurance engineer selects a random sample
of 10 items and checks each to see if it is defective.
i. What is the mean and standard deviation of the number of
defective items that she will sample. [4]
ii. What is the probability that she observes two or fewer
defective items.
A road surface is being inspected for potholes. The number of
potholes per kilometre...
Only 4% of items produced by a machine are defective. A random sample of 200 items...
Only 4% of items produced by a machine are defective. A random
sample of 200 items is selected and checked for defects.
a. Refer to Exhibit 7-1. What is the expected value for ?
b. What is the probability that the sample proportion will be
within +/-0.03 of
the population proportion
c.What is the probability that the sample proportion will be
between 0.04 and
0.07?
Probability of producing defective items in a workshop is 0.4. If 20 products are picked at...
Probability of producing defective items in a workshop is 0.4.
If 20 products are picked at random, what is the probability that:
a) 2 will be defective b)at least 3 will be defective c) at most 4
will be defective
A manufacturing company produces water filters for home refrigerators. The process has typically produced some defective...
A manufacturing company produces water filters for home
refrigerators. The process has typically produced some defective
liters. A random sample of 300 liters yielded 12 defects. Construct
and interpret a 90% confidence interval for the true proportion of
defective water liters.
The percent defective for parts produced by a manufacturing process is targeted at 4%. The process...
The percent defective for parts produced by a manufacturing
process is targeted at 4%. The process is monitored daily by taking
samples of sizes n = 160 units. Suppose that today’s sample
contains 14 defectives. Determine a 88% confidence interval for the
proportion defective for the process today.
Place your LOWER limit, rounded to 3 decimal places, in the
first blank. For example, 0.123 would be a legitimate answer.
Place your UPPER limit, rounded to 3 decimal places, in the...
A factory tests all its products. The proportion of defective items is 0.02. The probability that...
A factory tests all its products. The proportion of defective
items is 0.02. The probability that the test will catch a defective
product is 0.95. The test will also reject nondefective products
with probability 0.01. (a) Given that a product passes the test,
what is the probability that it is defective? (b) Given that the
product does not pass the test, what is the probability that the
product is defective?
What is the probability of finding three or fewer nonconforming items in a sample of 5...
What is the probability of finding three or fewer nonconforming
items in a sample of 5 items from a lot that has 50 total items and
ten of them are known to be nonconforming?
When using the Hypergeometric distribution to solve I get 0.9959
as opposed to the binomial distribution which gets me a result of
0.9933. Which would be the correct formula to use and why?
A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box
A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box. Let X denotes the number of defective item in the sample. Find the probability distribution of X.
Does being in control always mean that a process is producing few defective items?
Does being in control always mean that a process is producing
few defective items?
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Do you have a wireless network at home? What kind of wireless equipment do you have?...
- 1) A gas mixture containing 75% air, 20% of A and 5% of B (by volume)...
- What is the difference between a physical and a semantic barrier to communication? Provide an example...
- Draw an EER that models the given requirements. Consider modeling a bank: The bank keeps personal...
- To what extent will built-to-change design principles apply to organizations in other industries with different environments?...
- Multiple Part Question. For the reaction at 25C CCL4(l) + H2(g) -> HCl(g) + CHCl3(l) Delta...
- Cost, volume, profit analysis identifies a transaction’s “contribution’ to fixed costs. Explain the meaning of ‘contribution’...
ADVERTISEMENT