The probability that Mrs. Plum's cats will wake her up at least once in a given night using the Poisson Distribution is: 0.7603
What is probability?Probability is a mathematical discipline that is concerned with numerical representations of how likely an event or statement is to occur. The likelihood of an event occurring is a number between 0 and 1, with 0 representing impossibility and 1 representing certainty.
A discrete probability distribution is a Poisson distribution. It expresses the likelihood of an event occurring a specific number of times (k) during a certain time or space period. The Poisson distribution has only one parameter, which is the mean number of occurrences, the λ (lambda).
Recall that the average number of times Mrs. Plum's cat wakes her up per night is given by λ = 10/7
Hence P (x ≥ 1) = 1- P (x < 1)
= 1 - P (X = 0)
= 1 - [e ⁻ ⁽¹⁰⁺⁷⁾ x (10/7)⁰]/0!
= 1 - 0.2397
= 0.7603
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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.
THE MERCHANDISE APPROACH
The merchandise approach can be used only when a customer demonstrates interest in a product. What might you say to a customer who is looking at tennis shoes to demonstrate the merchandise approach???
The thing that I will say to a customer who is looking at tennis shoes to demonstrate the merchandise approach is to tell the customer that the products are new and ask which color he or she is interested in.
What is the merchandise approach about?This form of retail strategy tends to draws attention to a product right away. When a client looks, touches, or reads information or packaging about a certain product or range, it is used to indicate interest.
Therefore, The customer's interest should be reflected in your introductory remarks so that you can later have a deeper grasp of their wants.
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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.
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)