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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

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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The solutions to the problems concerning the order of the prescription remotely are:

We 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)

Using the normal distribution, it is found that the proportion of guests that will spend between 28 and 37 minutes in the house is:

0.6514.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by the following rule:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In the context of this problem, the mean and the standard deviation are given as follows:

[tex]\mu = 35, \sigma = 4[/tex]

The proportion of guests that will spend between 28 and 37 minutes in the house is the p-value of Z when X = 37 subtracted by the p-value of Z when X = 28, hence:

X = 37:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (37 - 35)/4

Z = 0.5

Z = 0.5 has a p-value of 0.6915.

X = 28:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (28 - 35)/4

Z = -1.75

Z = -1.75 has a p-value of 0.0401.

Then the proportion is:

0.6915 - 0.0401 = 0.6514.

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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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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 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.

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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Answer:

This book was great but I had to read the chapter again to get this so here is what I came up with

Explanation:

He stumbles across the sow's head, now merely a gleaming white skull with a stake sticking out of it. Ralph hides in a thicket and falls asleep as Jack tortures one of the twins to find out where he is hiding. In the film, Ralph is chased by Jack and a group of body-painted warrior boys wielding sharp wooden spears. Chased frantically through the undergrowth, looking for a place to hide. He ends up on the beach, where he collapses in exhaustion, his pursuers close behind. Suddenly, Ralph looks up to see a naval officer standing over him. The officer tells Ralph that his ship has come to the island after seeing the blazing fire in the jungle. The officer informs Ralph that his ship has arrived on the island in response to the raging fire in the forest.

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.

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.

Answer:

529/1936

Explanation:

The chance that there would be a secret decoder ring in one is 23/44. The probability that it'll be in both boxes can be found by multiplying the chances in the case of the two boxes. For box A, the chance is 23/44. For box B, the chance is also 23/44. So when you multiply them, you have 529/1936.

Answer:

0.9y = 0.15x

Decreased by 10% means there is 90% left which in decimal form is 0.9.

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

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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Answer:

I don't agree

Explanation:

Because charts not only organize the data in a particular way but also make it look appealing.

Answer:

disagree

Explanation:

charts represent useful information but

The following traits, such as goal-driven, structured, question-answer, controlled, and unbalanced, are mostly tested during interviews.

Compared to other forms of communication, especially those that involve two people, interviews are typically more goal-oriented. The necessity of good introductions, verbal communication, objectivity, and experience are all characteristics of interviews.

Interviews give both prospective employers and workers the chance to assess a candidate's character and skill set against the demands and culture of the company. HR should not slack off on preparations, despite the widespread perception that interviewees should prepare extensively for employment interviews.

One word best describes the secret to acing an interview: enthusiasm. What will make you stand out from the competition is your enthusiasm for your work. But show how your love for the profession has positively influenced outcomes through your behavior.

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