If a foreman for an injection-molding firm admits that on 29% of his shifts, he forgets to shut off the injection machine on his line in which a molding is randomly selected from the early morning run of a random day, the probability that it is defective is :10.51%.
Probability
First step is to analyze the event or the given scenario
Forgot to shut off the line (29% of the time) = leads to a 24% chance of defects in the morning
Did not forget to shut off the line (the other 71% of the time) = normal 5% chance of defects in the morning
(1-29% =71%)
Hence :
Now let determine the Probability that it is defective
Probability = [(.29)(.24)] + [(.71)(.05) ]
Probability = .0696 +.0355
Probability = .1051 × 100
Probability = 10.51%
Therefore we can conclude that the 10.51% is probability that a molding is defective.
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Thirty-nine percent of consumer prefer to order their prescription remotely instead of going to the Pharmacy. They argue that going in in person prompt individual to purchase other items that they did not need, especially those chocolate candies by the register. If ordering prescription remotely follows a binomial distribution pattern. You randomly select 10 consumers. Find the probability that the number of customers who prefer to shop to order prescription remotely is:
The solutions to the problems concerning the order of the prescription remotely are:
The probability of exactly 4 is 0.25The probability of at most 2 is 0.18How to solve for the probabilityWe have to solve this by making use of binomial probability
where p is the probability
x is the number of success
n is the trials
We have to find the probability of exactly 4
We have to solve this by making use of the binomial distribution formula
= [tex]nCxP^{x} (1-p)^{n-4}[/tex]
where n = 10
x = 4
p = 39
39/100 = 0.39
percentage = 0.39
When we put these values in the formula that we have here we would have
[tex]10C_{4} P^{4}(1-P)^{10-4}[/tex]
This would be written as
[tex]\frac{10!}{4!(10-4)! } *0.39^{4} *(1-0.39)^6[/tex]
Probability of exactly 4 = 210 * 0.39⁴ * (1 - 0.39)⁶
= 0.25
The probability of exactly 4 is 0.25
2. We have to solve for the probability of at most 2
= probability of exactly 1 + probability of exactly 2
= ₁₀C₁ * p¹ * (1 - p)¹⁰ ⁻¹ + ₁₀C₂ * P² * (1 - P)¹⁰⁻²
= 10 * 0.39¹ * 1 - 0.39⁹ + 45 * 0.39² * 1 - 0.39⁸
Probability of at most 2 = 10 * 0.39 * (1 - 0.39)⁹ + 45 * 0.39² * (1 - 0.39)⁸
= 0.18
The probability of at most 2 is 0.18
The probability that the number of customers that prefers remote order is exactly 4 is 0.25, while the probability that they are exactly 2 is 0.18
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complete question
Thirty-nine percent of consumer prefer to order their prescription remotely instead of going to the Pharmacy. They argue that going in in person prompt individual to purchase other items that they did not need, especially those chocolate candies by the register. If ordering prescription remotely follows a binomial distribution pattern. You randomly select 10 consumers. Find the probability that the number of customers who prefer to shop to order prescription remotely is:
Exactly 4 (Show all work – Formula and calculations)
At most 2 (Show all work – Formula and calculations)
Chloroplasts contain chlorophyll and carotenoids. Chlorophyll directly absorbs light for use in photosynthesis. Carotenoids absorb light and transfer the energy from light to chlorophyll. The efficiency of photosynthesis varies with the wavelengths of the light that illuminates the chloroplasts. In an experiment to study the relationship between the incoming light wavelengths and the chemical reactions of photosynthesis using a species of green algae, a researcher labeled the CO2 supply to the algae with 14C, and the H2O with 18O.
Which of the following results is expected?
The results that is expected is option C: More 14C is found in the algae when it is illuminated by blue-violet and red light than when it is illuminated by green light.
Why does chlorophyll absorb both red and blue light?The chlorophyll molecule really absorbs red and blue light while reflecting green light.
This is due to the chemical makeup of the chlorophyll molecule, which causes it to absorb some hues of light while reflecting others.
Therefore, Many items that have color, including paints, do so because of molecules with carbon atom rings in them.
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See options below
Which of the following results is expected?
More 14C is found in the algae when it is illuminated by green light than when it is illuminated by violet-blue and red light.
More 18O is found in the algae when it is illuminated by green light than when it is illuminated by violet-blue and red light.
More 14C is found in the algae when it is illuminated by violet-blue and red light than when it is illuminated by green light.
More 18O is found in the algae when it is illuminated by violet-blue and red light than when it is illuminated by green light.
name the set of information systems FSCA needs to support its strategic plan?
FSCA needs the following information systems to support its strategic plan:
1. A budget tracking and control system for the organization
2. A document and data management system to keep and distribute agency information
3. A system to monitor the development of agency programs
What is FSCA?Market behavior is regulated and overseen by the Financial Sector Conduct Authority (FSCA).
A system for managing human resources that monitors employee information and performance By monitoring employee information and performance, FSCA's human resources management system should assist the agency's strategic plan.
The method should make it easier to determine where employees are performing well and where they need to improve. The solution should additionally enable FSCA to track staff happiness and spot any possible retention difficulties.
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Where are most heavier metals, such as iron and nickel, found in the Earth's layers and why?
Answer:
The Mantle
Explanation:
The Mantle: The mantle is the thickest layer of the Earth, making up about 82% of its volume. The mantle is composed primarily of heavy metals, such as iron, nickel, magnesium, and others. Scientists describe the state of the mantle as 'plastic.