Question

A lot of size N = 60 contains three nonconforming units. What is the probability that a sample of five units selected at random contains exactly one nonconforming unit? What is the probability that it contains one or more nonconformances

Answer #1

A lot of size N = 50 contains three nonconforming units. What is
the probability that a sample of five units selected at random
contains exactly one nonconforming unit? What is the probability
that it contains one or more nonconformances?

A finite lot of 60 digital watches includes 20% nonconforming
units. Using the hypergeometric distribution, what is the
probability that a sample of 7 will contain 2 nonconforming
watches? Show your work.

A production process operates with 1% nonconforming output.
Every hour a sample of 30 units of product is taken, and the number
of nonconforming units counted. If one or more nonconforming units
are found, the process is stopped and the quality control
technician must search for the cause of nonconforming
production.
What is the probability that one or more nonconforming units are
found? (hint: binomial distribution)

The fraction of nonconforming units from a manufacturing process
is 0.01. A random sample of 100 units is drawn from the process.
What is the probability that at most 1% of the units in the sample
are nonconforming?

A random sample of size 12 is taken without replacement from a
lot of 100 items that contains 8 defectives.
(a) Find the probability that there are exactly two defectives
in the sample.'
(b) Find the probability that there are two or fewer defectives
in the sample

A lot contains 12 items and 4 are defective. If two items are
drawn at random from the lot, without replacement, what is the
probability there is exactly one defective?

A lot of 106 semiconductor chips contains 29 that are defective.
Round your answers to four decimal places (e.g.
98.7654).
a) Two are selected, at random, without replacement, from the
lot. Determine the probability that the second chip selected is
defective.
b) Three are selected, at random, without replacement, from the
lot. Determine the probability that all are defective.

Compute the probability of 6 successes in a random sample of
size n=11 obtained from a population of size N=70 that contains 25
successes.
The probability of 6 success is?

A lot of 101 semiconductor chips contains 25 that are
defective.
(a)
Two are selected, one at a time and without replacement from
the lot. Determine the probability that the second one is
defective.
(b)
Three are selected, one at a time and without replacement. Find
the probability that the first one is defective and the third one
is not defective.

A batch of 85 machined parts contains 12 that do not conform to
customer requirements. Define the random variable, determine the
range of possible values and calculate the probabilities for each
of the following options.
24 parts are randomly selected with replacement, what is the
probability that at least 4 of them are nonconforming?
13 Parts are selected without replacement, what is the
probability that exactly 6 of them are nonconforming?

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