Question

A manufacturer of light bulbs knows that, out of every package of 5 sold, there is an expectation that 1 will be defective. A customer purchases 3 of these packages (a total of 15 light bulbs). What is probability that at most 2 are defective?

Answer #1

2. A manufacturer of fluorescent light bulbs advertises that the
distribution of the lifespans of these bulbs is normal with a mean
of 9,000 hours and a standard deviation of 1,000 hours.
What is the probability that a randomly chosen light bulb lasts
more than 9500 hours?
Describe the distribution of the mean span of 15 light
bulbs.
What is the probability that the mean lifespan of 15 randomly
chosen light bulbs is more than 9500 hours?

1. A manufacturer of compact fluorescent light bulbs advertises
that the distribution of the lifespans of these light bulbs is
nearly normal with a mean of 9,000 hours and a standard deviation
of 1,000 hours.
A. What is the probability that a randomly chosen light bulb
lasts more than 10,500 hours?
B. what is the probability that the mean lifespan of 15 randomly
chosen light bulbs is more than 10,500 hours?
c. could you estimate the probability from parts A...

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.

There are three companies that make light bulbs: Company A,
Company B, and Company C. From the annual output of bulbs, 70% are
sold by A, 20% by B, and 10% by C. Some of these bulbs end up being
defective. It is known from consumer reports that 5% of A’s bulbs
are defective, while 10% of B’s bulbs and 15% of C’s bulbs are
defective. You notice that a recently installed light bulb at
school is defective. You know...

Scenario 5
Media Wise sells a range of media products in package deals. The
products sold within bundles are as follows.
TV
Stand
Speaker
Selling Price (£)
400
50
40
Variable Cost (£)
250
30
25
Package A consists of a TV and a stand and is sold for a
discounted price of £420. Package B consists of a TV, a stand and
two speakers and is sold for a discounted price of £480. Currently
packages are sold in a...

Scenario
Media Wise sells a
range of media products in package deals. The products sold within
bundles are as follows.
TV
Stand
Speaker
Selling Price (£)
400
50
40
Variable Cost (£)
250
30
25
Package A consists of
a TV and a stand and is sold for a discounted price of £420.
Package B consists of a TV, a stand and two speakers and is sold
for a discounted price of £480. Currently packages are sold in a
ratio...

1.)A manufacturer knows that their items have a normally
distributed length, with a mean of 12.9 inches, and standard
deviation of 1.1 inches.
If one item is chosen at random, what is the probability that it is
less than 14.9 inches long?
2.)A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 5 years, and standard
deviation of 1.1 years.
If you randomly purchase one item, what is the probability it will
last longer than...

Q2) Consider a Poisson probability
distribution with λ=4.9. Determine the following probabilities.
a) exactly 5 occurrences
b) more than 6 occurrences
c) 3 or fewer occurrences
Q3) Consider a Poisson probability
distribution. Determine the probability of exactly six occurrences
for the following conditions.
a) λ=2.0
b) λ=3.0
c) λ=4.0
d) What conclusions can be made about how these probabilities
change with λ?
Q4) A particular intersection in a small town
is equipped with a surveillance camera. The number of traffic...

The table lists the number of defective 60-watt lightbulbs found
in samples of 100 bulbs selected over 25 days from a manufacturing
process. Assume that during this time the manufacturing process was
not producing an excessively large fraction of defectives.
Day
1
2
3
4
5
6
7
8
9
10
Defectives
5
2
6
8
4
4
5
6
7
2
Day
11
12
13
14
15
16
17
18
19
20
Defectives
2
5
3
4
1
3...

1. A manufacturer knows that their items have a normally
distributed length, with a mean of 17.5 inches, and standard
deviation of 5.1 inches.
If one item is chosen at random, what is the probability that it is
less than 14.3 inches long?
2. A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 6 years, and standard
deviation of 0.8 years.
If you randomly purchase one item, what is the probability it will
last...

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