Question

The probability of a manufacturing defect in an aluminum beverage can is .00008 if 100,600 cans are produced find the following

a) at least 7 defective cars

b) at least 8 defective cars

Answer #1

Given :

p = 0.00008

n = 100,600

X : number of defect beverage can

To calculate :

1) the probability of at least 7 defective cars

2) the probability of at least 8 defective cars

Here we use the Poisson approximation binomial distribution.

Therefore a) the probability of at least 7 defective cars is 0.5537

b) the probability of at least 8 defective cars is 0.4142

The probability of a manufacturing defect in an aluminum
beverage can is .00007. If 100,500 cans are produced, find the
following probabilities.
(a)
At least six defective cans. (Round your answer to 4
decimal places.)
Probability
(b)
At least seven defective cans. (Round your answer to 4
decimal places.)
Probability
(c)
Is the Poisson approximation justified?
No
Yes

Process Activity Analysis
The Brite Beverage Company bottles soft drinks into aluminum
cans. The manufacturing process consists of three activities:
Mixing: water, sugar, and beverage concentrate
are mixed.
Filling: mixed beverage is filled into 12-oz.
cans.
Packaging: properly filled cans are boxed into
cardboard "fridge packs".
The activity costs associated with these activities for the
period are as follows:
Mixing
$267,000
Filling
237,000
Packaging
96,000
Total
$600,000
The activity costs do not include materials costs, which are
ignored for this...

Process Activity Analysis
The Brite Beverage Company bottles soft drinks into aluminum
cans. The manufacturing process consists of three activities:
Mixing: water, sugar, and beverage concentrate
are mixed.
Filling: mixed beverage is filled into 12-oz.
cans.
Packaging: properly filled cans are boxed into
cardboard “fridge packs.”
The activity costs associated with these activities for the
period are as follows:
Mixing
$257,000
Filling
227,000
Packaging
66,000
Total
$550,000
The activity costs do not include materials costs, which are
ignored for this...

1) A coke can is made from a very thin sheet of
aluminum, only 0.3175 millimeter thick. Yet they can withstand
pressures that vary with a mean of 100 psi and a sigma of 2.5
psi.
a) Draw a sketch, label it properly. What percentage of
beverage cans do we expect to withstand less than 90
psi?
b) Make a sketch. What are the withstanding pressures of
the top 5% of beverage cans?
c) Suppose a company has 25 randomly...

A machine fills soda cans with a sugary beverage. The amount of
liquid is distributed uniformly between 350 and 360 ml.
1. Find the probability that a randomly purchased soda can would
have exactly 355 ml.
2. Find the probability that a randomly purchased soda can would
less than 355 ml.
3. Find the probability that a randomly purchased soda can would
have more than 357 ml.
4. Find the probability that a randomly purchased soda can would
have more...

At a Noodles and Company restaurant, the probability that a
customer will order a nonalcoholic beverage is .52
a.) Find the probability that in a sample of 11 customers, none
of the 11 will order a nonalcoholic beverage
b.) Find the probability that in sample of 11 customers, at
least 8 will order a nonalcoholic beverage
c.) Find the probability that in a sample of 11 customers, fewer
than 9 will order a nonalcoholic beverage
d.) Find the probability that...

A machine that fills beverage cans is supposed to put 16 ounces
of beverage in each can. Following are the amounts measured in a
simple random sample of eight cans. 16.04 15.96 15.84 16.08 15.79
15.90 15.89 15.70 Assume that the sample is approximately
normal.
Can you conclude that the mean volume differs from 16 ounces?
Use P-value method and the α=0.05 level of significance
. a) (2 pts) Identify the null and alternate hypothesis:
b) (3 pts) Find the...

7.Aluminum cans can be converted into alum [KAl(SO4)2 · 12 H2O]
and hydrogen gas via a very simple procedure summarized by the
overall equation given below. Alum is a useful agent in
water-proofing and hydrogen gas is a very useful fuel. An aluminum
soda pop can with a mass of 19.56 g reacted with an excess of
potassium hydroxide. What is the volume at STP of the hydrogen gas
produced?

At a Noodles & Company restaurant, the probability that a
customer will order a nonalcoholic beverage is .52.
A. Find the probability that in a sample of 11 customers, at
least 8 will order a nonalcoholic beverage. (Round your answer to 4
decimal places.)
B. Find the probability that in a sample of 11 customers, fewer
than 9 will order a nonalcoholic beverage. (Round your answer to 4
decimal places.)
C. Find the probability that in a sample of 11...

Case Study: Testing The Strength Of Cans
In the chapter opener, we discussed a method used to determine
whether shipments of aluminum cans are strong enough to withstand
the pressure of containing a carbonated beverage. Several cans are
sampled from a shipment and tested to determine the pressure they
can withstand. Based on this small sample, quality inspectors must
estimate the proportion of cans that will fail at or below a
certain threshold, which we will take to be 90...

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