Question
In: Statistics and Probability
Components of a certain type are shipped to a supplier in batches of ten. Suppose that...
Components of a certain type are shipped to a supplier in batches of ten. Suppose that 52% of all such batches contain no defective components, 31% contain one defective component, and 17% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions? (Round your answers to four decimal places.)
(a) Neither tested component is defective.
no defective components :
one defective component :
two defective components :
(b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.]
no defective components :
one defective component :
two defective components :
Solutions
orchestra answered 2 years agoRelated Solutions
Components of a certain type are shipped to a supplier in batches of ten. Suppose that...
Components of a certain type are shipped to a supplier in
batches of ten. Suppose that 79% of all such batches contain no
defective components, 15% contain one defective component, and 6%
contain two defective components. Two components from a batch are
randomly selected and tested. What are the probabilities associated
with 0, 1, and 2 defective components being in the batch under each
of the following conditions?
(a) Neither tested component is defective.
0:
1:
2:
(b) One of...
Components of a certain type are shipped to a supplier in batches of ten. Suppose that...
Components of a certain type are shipped to a supplier in
batches of ten. Suppose that 50% of all such batches contain no
defective components, 32% contain one defective component, and 18%
contain two defective components. Two components from a batch are
randomly selected and tested. What are the probabilities associated
with 0, 1, and 2 defective components being in the batch under each
of the following conditions? (Round your answers to four decimal
places.)
(a) Neither tested component is...
Components of a certain type are shipped to a supplier in batches of ten. Suppose that...
Components of a certain type are shipped to a supplier in
batches of ten. Suppose that 49% of all such batches contain no
defective components, 31% contain one defective component, and 20%
contain two defective components. Two components from a batch are
randomly selected and tested. What are the probabilities associated
with 0, 1, and 2 defective components being in the batch under each
of the following conditions? (Round your answers to four decimal
places.)
(a) Neither tested component is...
Components of a certain type are shipped to a supplier in batches of ten. Suppose that...
Components of a certain type are shipped to a supplier in
batches of ten. Suppose that 48% of all such batches contain no
defective components, 29% contain one defective component, and 23%
contain two defective components. Two components from a batch are
randomly selected and tested. What are the probabilities associated
with 0, 1, and 2 defective components being in the batch under each
of the following conditions? (Round your answers to four decimal
places.)
(a) Neither tested component is...
Components of a certain type are shipped to a supplier in batches of ten. Suppose that...
Components of a certain type are shipped to a supplier in
batches of ten. Suppose that 51% of all such batches contain no
defective components, 33% contain one defective component, and 16%
contain two defective components. Two components from a batch are
randomly selected and tested. What are the probabilities associated
with 0, 1, and 2 defective components being in the batch under each
of the following conditions? (Round your answers to four decimal
places.)
(a) Neither tested component is...
Components of a certain type are shipped to a supplier in batches of ten. Suppose that...
Components of a certain type are shipped to a supplier in
batches of ten. Suppose that 49% of all such batches contain no
defective components, 27% contain one defective component, and 24%
contain two defective components. Two components from a batch are
randomly selected and tested. What are the probabilities associated
with 0, 1, and 2 defective components being in the batch under each
of the following conditions? (Round your answers to four decimal
places.)
(a) Neither tested component is...
Components of a certain type are shipped to a supplier in batches of ten. Suppose that...
Components of a certain type are shipped to a supplier in
batches of ten. Suppose that 49% of all such batches contain no
defective components, 33% contain one defective component, and 18%
contain two defective components. Two components from a batch are
randomly selected and tested. What are the probabilities associated
with 0, 1, and 2 defective components being in the batch under each
of the following conditions? (Round your answers to four decimal
places.)
(a) Neither tested component is...
Suppose 88% of all batteries from a supplier have acceptable voltages. A certain type of flashlight...
Suppose 88% of all batteries from a supplier have acceptable
voltages. A certain type of flashlight requires two type-D
batteries, and the flashlight will work only if both its batteries
have acceptable voltages. Treat all batteries and flashlights as
independent of each other.
(a) In 20 randomly selected batteries, what is the probability
that 19 or 20 have acceptable voltages?
(b) Suppose 20 randomly selected batteries are placed into 10
flashlights. What is the probability that at least 9 of...
A manufacturer of electronic components is interested in determining the lifetime of a certain type of...
A manufacturer of electronic components is interested in
determining the lifetime of a certain type of battery. A sample, in
hours of life, is as follows 123, 116, 122, 110, 175, 126, 125,
111, 118, 117.
Calculate: Sample Mean, Sample Median, 20% trimmed Mean,
Quartiles: Q1, Q2 and Q3
Interquartile range: IQR = Q3 –Q1 , Lower bound = Q1 - 1.5(Q3
- Q1), Upper bound = Q3 + 1.5(Q3 - Q1).
Maximum, Minimum, Range = Max...
A retailer purchases a certain type of chemical from a supplier on the following quantity discount...
A retailer purchases a certain type of chemical from a supplier
on the following quantity discount schedule: • If the order amount
is less than 100 kg.s, the supplier charges $30 per kg. • If the
order amount is at least 100 kg.s and less than 500 kg.s, the
supplier applies an incremental discount where the first 100 kg.
costs $30 per kg. and the remaining amount costs $28 per kg. • If
the order amount is at least 500...
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