Question

A batch of 422 containers for frozen orange juice contains 6 that are defective. Two are selected, at random, without replacement from the batch.

a) What is the probability that the second one selected is defective given that the first one was defective? Round your answer to five decimal places (e.g. 98.76543).

Enter your answer in accordance to the item a) of the question statement

b) What is the probability that both are defective? Round your answer to seven decimal places (e.g. 98.7654321).

Enter your answer in accordance to the item b) of the question statement

c) What is the probability that both are acceptable? Round your answer to three decimal places (e.g. 98.765).

Enter your answer in accordance to the item c) of the question statement

Three containers are selected, at random, without replacement, from the batch.

d) What is the probability that the third one selected is defective given that the first and second one selected were defective? Round your answer to three decimal places (e.g. 98.765).

Enter your answer in accordance to the item d) of the question statement

e) What is the probability that the third one selected is defective given that the first one selected was defective and the second one selected was okay? Round your answer to five decimal places (e.g. 98.76543).

Enter your answer in accordance to the item e) of the question statement

f) What is the probability that all three are defective? Round your answer to three decimal places (e.g. 98.765).

Enter your answer in accordance to the item f) of the question statement

Answer #1

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A batch of 500 containers for frozen orange juice contains 5
that are defective. Three are selected, at random, without
replacement from the batch.
a. What is the probability that the second one selected is
defective given that the first one was defective?
b. What is the probability that the first two selected are
defective?
c. What is the probability that the first two selected are both
acceptable?
d. What is the probability that the third one selected is
defective...

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 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.

The quality-control inspector of a production plant will reject
a batch of syringes if two or more defective syringes are found in
a random sample of ten syringes taken from the batch. Suppose the
batch contains 5% defective syringes. Find μ (in terms of the
number of syringes). (Enter a number. Enter your answer to two
decimal places.) What is the expected number of defective syringes
the inspector will find? (Enter a number. Enter your answer to two
decimal places.)...

quality-control inspector of a production plant will reject a
batch of syringes if two or more defective syringes are found in a
random sample of ten syringes taken from the batch. Suppose the
batch contains 5% defective syringes.
(a) What is the expected number of defective syringes the
inspector will find? (Enter a number. Enter your answer to two
decimal places.)
(b) What is the probability that the batch will be accepted?
(Enter a number. Round your answer to three...

A batch of 125 lightbulbs contains 13 that are defective. If
you choose 8 at random
(without replacement), what is the probability that
(a) None are defective?
(b) Exactly one is defective?
(c) More than 2 are defective?
whats needed
1) Define a random variable in words. (e.g. X = number of
heads observed)
2) Specify the distribution of the random variable including
identifying the value(s) of any
parameter(s). (e.g. X ∼ Binomial(10, 5))
3) State the desired probability in...

The quality-control inspector of a production plant will reject
a batch of syringes if two or more defective syringes are found in
a random sample of six syringes taken from the batch. Suppose the
batch contains 5% defective syringes.
(a)
Make a histogram showing the probabilities of r = 0, 1,
2, 3, …, 5 and 6 defective syringes in a random sample of six
syringes.
(b)
Find μ (in terms of the number of syringes). (Enter a number.
Enter...

The quality-control inspector of a production plant will reject
a batch of syringes if two or more defective syringes are found in
a random sample of ten syringes taken from the batch. Suppose the
batch contains 1% defective syringes.
(a)
Make a histogram showing the probabilities of r = 0, 1,
2, 3, …, 9 and 10 defective syringes in a random sample of ten
syringes. (Select the correct graph.)
(b)Find μ (in terms of the number of syringes)....

A batch contains 38 bacteria cells. Assume that 12 of the cells
are not capable of cellular replication. Six cells are selected at
random, without replacement, to be checked for replication. Round
your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that all six cells of the selected
cells are able to replicate?
(b) What is the probability that at least one of the selected
cells is not capable of replication?

Suppose that a box contains 6 pens and that 4 of them are
defective. A sample of 2 pens is selected at random without
replacement. Define the random variable XX as the number of
defective pens in the sample. If necessary, round your answers to
three decimal places.
Write the probability distribution for XX.
xx
P(X=xX=x)
What is the expected value of X?

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