Question

A tray of electronic components contains 22 components, 4 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.)

(a) that all 4 are defective

(b) that 3 are defective and 1 is good

(c) that exactly 2 are defective

(d) that none are defective

Answer #1

1. Three people are selected at random from four females and
seven males. Find the probability of the following. (See
Example 4. Round your answers to three decimal places.)
At least one is a male?
At most two are male?
a) A tray of electronic components contains 23
components, 5 of which are defective. If 4 components are selected,
what is the possibility of each of the following? (Round your
answers to five decimal places.)
that all 4 are defective?
that 3...

QUESTION 5- A factory produces pins of which 1.5% are
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selected at random.
(1) n =
(2) p = (Round to four decimal places)
(3) q = (Round to four decimal places)
Find the following probabilities (Round ALL answers to four
decimal places):
4) The box contains exactly 6 defective pins
5) The box contains at least one defective pins
6) The box contains no more than two...

1. Suppose that a shipment of 120 electronics components
contains 10 defective components. If the control engineer selects 6
of these components at random and test them
a. What is the probability that exactly 3 of those selected are
defective? What is the probability that exactly 4 of those selected
are not defective?
b. What is the probability that at least 3 of those selected are
defective?
c. What is the probability that fewer than 4 selected are not
defective?

A box contains 25 parts of which 3 are defective and 22
are non-defective. If two parts are selected WITH replacement, find
the following probabilities;
P (both are defective) =
P ( exactly one is defective) =
P ( neither is defective) =

Suppose a shipment of 180 electronic components contains 3
defective components. To determine whether the shipment should be
accepted, a quality-control engineer randomly selects 3 of the
components and tests them. If 1 or more of the components is
defective, the shipment is rejected. What is the probability that
the shipment is rejected?

Q‒2. [4×5 marks] A box contains 24 transistors, 4 of which are
defective. If
4 are sold at random, find the following probabilities.
a) Exactly 2 are defectives.
b) None is defective.
c) All are defective.
d) At least 1 is defective.
Find the transitive closure of if is
a) .
b) .

A box contains 100 light bulbs of which 22 are defective.
Suppose 2 light bulbs are selected without replacement.
What is the probability that at least one of them is defective?
Give your answer to 3 places past the decimal.

Benson Manufacturing is considering ordering electronic
components from three different suppliers. The suppliers may differ
in terms of quality in that the proportion or percentage of
defective components may differ among the suppliers. To evaluate
the proportion of defective components for the suppliers, Benson
has requested a sample shipment of 500 components from each
supplier. The number of defective components and the number of good
components found in each shipment are as follows. Component
Supplier A B C Defective 15...

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
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A box contains 4 defective and 2 good parts.
Two parts are selected from the box (without replacement), and it
is recorded whether the
selected part is defective or good.
The probability that the first selected part is defective and the
second selected part is good is
__________
The probability that exactly one good part is selected
is__________________
The probability that at least one defective part is selected is
_____________________

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