The distribution of number of hours worked by volunteers last year at a large hospital is approximately normal with mean 80 and standard deviation 7. Volunteers in the top 20 percent of hours worked will receive a certificate of merit. If a volunteer from last year is selected at random, which of the following is closest to the probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90 ?.

Answers

Answer 1

Explanation:

Using the normal distribution, it is found that the probability that the volunteer selected will receive a certificate of merit given that the  number of hours the volunteer worked is less than 90 is closest to:

B 0.123

In a normal distribution with mean \muμ and standard deviation \sigmaσ , the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}Z=σX−μ

It measures how many standard deviations the measure is from the mean.  

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 80, hence \mu = 80μ=80 .

The standard deviation is of 7, hence \sigma = 7σ=7 .

The minimum value is the 80th percentile, which means that it is X_mXm when Z has a p-value of 0.8.

The probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90 is P(X_m < X < 90)P(Xm<X<90) , which is the p-value of Z when X = 90 subtracted by the p-value of Z when X = X_mX=Xm , hence the p-value of Z when X = 90 subtracted by 0.8.

Z = \frac{X - \mu}{\sigma}Z=σX−μ

Z = \frac{90 - 80}{7}Z=790−80

Z = 1.43Z=1.43

Z = 1.43Z=1.43 has a p-value of 0.9236.

0.9236 - 0.8 = 0.1236, hence closest to 0.123, option B.

Answer 2

Using the normal distribution, it is found that the probability that the volunteer selected will receive a certificate of merit given that the  number of hours the volunteer worked is less than 90 is closest to:

Letter B

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

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

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. In this problem:

The mean is of 80, hence [tex]\mu = 80[/tex]. The standard deviation is of 7, hence [tex]\sigma = 7[/tex]. The minimum value is the 80th percentile, which means that it is [tex]X_m[/tex] when Z has a p-value of 0.8.

The probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90, which is the p-value of Z when X = 90 subtracted by the p-value of Z when X = X_mX=Xm , hence the p-value of Z when X = 90 subtracted by 0.8.

[tex]Z = \frac{X - \mu}{\sigma}\\Z=\sigma X - \mu\\Z = \frac{90 - 80}{7}\\Z=790 - 80\\Z = 1.43Z=1.43[/tex]

Has a p-value of 0.9236.

[tex]0.9236 - 0.8 = 0.1236[/tex]

Hence closest to 0.123.

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Related Questions

Do you think counselors are trustworthy.

Answers

Answer:

Yes.

Explanation:

I feel like they are because of the simple fact they cannot share your information, or anything you have said, with anyone because of confidentiality. The only way they can share anything is if you are going to hurt yourself or others, or if you give them verbal or written permission to do so.

Which sentences include a proper mla parenthetical citation? check all that apply.

Answers

Considering the available options, the sentences that include a proper MLA parenthetical citation include "Mahoney states that "the needs of speakers drive language change" (nsf.gov)."

What is MLA parenthetical citation?

MLA parenthetical citation is the citation method that utilizes the author's last name, the page number, or other relevant source information in parentheses from sentences used.

Other sentences that include a proper MLA parenthetical citation include the following:

Johnson claims that the English language began to deviate from its Germanic origins (4).

In the eighteenth century, English was "departing from its original Teutonic character"(Johnson 4).

Hence, in this case, it is concluded that the correct answer is options A, E, and F.

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Which of the following statements best supports the one gene-one enzyme hypothesis?.

Answers

The one gene–one enzyme hypothesis is a very common hypothesis on how genes acts. The statement that best supports the one gene-one enzyme hypothesis is a mutation in a single gene can result in a defective protein.

The one gene–one enzyme hypothesis was an hypothesis that came about through George Wells Beadle in the US.

In 1941, He gave the theory which states that each gene directly makes a single enzyme, which inturn affects an individual step that are also in a metabolic pathway.

He along with other researchers experimented with mutant fruit flies.

The full question is below

Which of the following statements supports the one gene-one enzyme hypothesis?

A) A mutation in a single gene can result in a defective protein.

B) Sickle-cell anemia results in normal hemoglobin.

C) Multiple antibody genes can code for different related proteins, depending on the splicing that takes place post-transcriptionally.

D) Alkaptonuria results when individuals lack multiple enzymes involved in the catalysis of homogentisic acid.

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Identify the molecular geometry around the carbon atom highlighted red in the given organic molecule.

Answers

The detached carbon has a tetrahedral geometry.

We can arrive at this answer because:

Carbon can make 4 bonds with other atoms.This is because carbon has 4 electrons in its valence layer.When carbon makes 4 single bonds with other atoms it manages to assume a tetrahedral molecular geometry.

From questions similar to yours, it is possible to find the image that your question refers to. This image is attached below and on it, we can see that the carbon in red makes 4 single bonds, assuming the tetrahedral geometry.

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Quis:

*Indonesian assignment*

Find the meanings of the following words using the Indonesian Dictionary
1. Effectiveness
2. Instrument
3. Generator
4. Distribution
5. Consumption
Work in a notebook or lat


pls help me bro :-)


those who are lazy must report :) Ok ^_^​

Answers

the effect to produce something desired a implement or a tool a machine that converts mechanical energy into electricity to share something among a number of people using up a resource is known as consumption

Which of the following is true of the capital requirement? check all that apply.

Answers

Answer:

Its intended goal is to protect the interests of those who hold equity in the bank.

The amount of capital required depends on the type of assets the bank holds.

Explanation:

edge!!

After earning $50 million in net income, monroe millwork distributed $15 million in dividends to its stockholders. Monroe’s board of directors decided to invest the remaining $35 million back into the business. This $35 million reinvestment of profits represents.

Answers

Based on the information given, it can be deduced that the reinvestment of profit which is $35 million is known as the retained earnings.

Retained earnings simply refer to part of the cumulative profit that is earned by a company which is saved for future use.

Retained earnings are typically earned from the net income at the end of a particular period. In this case, the company had a net income of $50 million and distributed $15 million as a dividend.

Therefore, the remaining $35 million is the retained earnings.

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The answer is mashed potatoes.

Answers

Answer: what did he sayyy

Explanation:

Based on the graph, what conclusion can be drawn about trade between the United States and China? The United States has a trade surplus with China. China’s economy is declining, which has harmed trade. The United States has a trade deficit with China. China’s economy is improving, which has helped trade.

Answers

The conclusion that can be drawn is that the United states has a trade deficit with China.

What is a trade deficit?

This trade deficit is known to often takes place only when the value of a country's imports is said to be more than the value of their  exports in terms of physical goods and services.

Note a trade deficit implies that a country such as United States is buying more goods and services than they are actually selling and as such, the conclusion that can be drawn from the graph is that the United states has a trade deficit with China.

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Answer:

The United states has a trade deficit with China.

Explanation:

Its correct

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with mean equal to 800 hours and a standard deviations of 40 hours. Find the probability that, a random sample of 16 bulbs will have an average life of i). Less that 775 hours. Ii) between 775 and 825 hours.

Answers

Answer:

ion know

Explanation:

What does sentir mean in English? to feel to kill to order to drink.

Answers

Answer:

All 5  answers

1.  A  to feel

2.  C  contenta

3.  D  seguro

4.  B  missing practice

5.  C  malteada de chocolate

Explanation:

Sentir mean in English is To feel

What type of verb is sentir?

Sentir is an irregular -ir verb.

What's the difference between sentir and Sentirse?

To choose one of sentir or sentirse, you can think of this simple model to help explain the difference: Sentir – describes 'what' you feel. Sentirse – describes 'how' you feel. In other words, we generally use sentir with nouns (joy, happiness, heat) and sentirse with adjectives or adverbs (happy, tired, excited).

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A researcher claims that the epinephrine signaling pathway controls a catabolic process in muscle cells. Which of the following statements best helps justify the researcher’s claim?.

Answers

Catabolism is simply refered to asthe process or sequences of enzyme-catalyzed reactions. Ths statements that best helps justify the researcher’s claim is that Glycogen phosphorylase catalyzes the conversion of glycogen to glucose-1-phosphate.

Catabolism is the process through which a good number of big molecules in living cells are degraded.or broken down into smaller pieces.

Some of the chemical energy released during catabolic processes is conserved in the form of energy-rich compounds such as adenosine triphosphate [ATP].

When anabolic and catabolic processes are in balance state, tissue remains intact and in good shape.

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Acrostic poem of energy.

Answers

Answer:

Eat foods that can give you energy like natural foods, carbohydrates, and protein.

Nutrition  is an important part of your health so make sure to check nutrition facts.

Exercise to keep your blood, heart, and your body moving.

Really try not to eat a lot of junk food because it can keep you from being healthy.

Grow by also being in a good mood because when your sad it decreases energy.

You can keep up your energy by following these amazing steps.

Explanation:

On a position vs. Time graph, which feature would represent motion in the negative direction over time?.

Answers

A time graph reveals specific information on the velocity (change in position with respect to a change in time).

So, on a position - time graph, the feature representing motion in the negative direction over time is a downward sloping line segment.

A slope in a position time graph depicts the velocity also called the slope in this type of graph as it the change in position over time.

So, a downward sloping line segment feature in a time graph indicates that the motion of the object is in the negative direction. While a positive sloping line segment indicates otherwise.

https://brainly.com/question/24547105

Answer:

a downward-sloping line segment

Explanation:

Which substances are necessary for the synthesis and the breakdown of most materials in an organism?.

Answers

Enzymes

Explanation:

are the catalyst that require substrate for their function. Almost all the metabolic process in the body for synthesis of any substance requires enzymes. 

I hope this is correct :)

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