The TSA Is using an experimental computer to randomly select airline passengers for additional screening. Each person has a 0.7% chance of being selected. They test the new computer until 10 passengers are chosen for the additional screening, and then they remove it. Let the random variable be the number of passengers who pass through security until 10 are stopped for additional screening.
Is the number of passengers who pass through security in this time a binomial random variable?
Select all that apply
A. Yes. All four conditions are met.
B. No. There is not a fixed number of trials
C. No. The trials cannot reasonably be assumed to be independent.
D. No. The outcomes cannot be described as only "success" and-failure."
E. No. The probability of success is not the same for each trial

Answers

Answer 1

Answer:

B. No. There is not a fixed number of trials

Step-by-step explanation:

Binomial random variable:

Can only have two outcomes(yes/no questions).

Each trial must be independent, that is, the probability of a success is always the same in a trial, and the number of trials is fixed.

It's probabilities must be between 0 and 1.

Is the number of passengers who pass through security in this time a binomial random variable?

For each person, there are only two possible outcomes. Either they are screened, or not. However, we don't want to know the number of people screened, which is binomial, we want to know the number of people until 10 are screened, which is inverse binomial. So, since there is not a fixed number of trials, this is not binomial, and the answer is given by option B.


Related Questions

2 and 1/4 - 3/4 ????

Answers

Answer:

1.5

Step-by-step explanation:

Write 3.08 × 10-5 as an ordinary number.

Answers

Answer:

0.0000308

Step-by-step explanation:

there are 5 places that it has moved from.

Find an angle 0 coterminal to 904°, where 0° < 0 < 360°

Answers

Answer:

184

Step-by-step explanation:

What you can do is just divide 904/360 and the remeinder is the answer so for this 1080 is too big so 720 and it is 904-720=184

Evaluate the expression. (38 + 10) ÷ 12 + 52

Answers

48/12=4
4+52=56
Answer 56

Answer:

56

Step-by-step explanation:

(Use PEMDAS for the order of operations)

First, solve everything in parentheses. You get this:

48 ÷ 12 + 52

Next, divide. You get this:

4 + 52

Lastly, add for the answer:

56

A fair 10 sided dice numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 is rolled once. What is the PERCENTAGE probability that it lands on a number that is prime? *

Answers

Answer:

40% probability that it lands on a number that is prime.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

10 sided dice

So 10 total outcomes.

Prime numbers:

Of those, 2, 3, 5 and 7 are prime, so 4 of the outcomes.

4*100/10 = 40%

40% probability that it lands on a number that is prime.


Kayla works as a hairdresser. She earned $228.50 in tips in five days. If she earned the same amount each day, about how much did
Kayla earn per day? Explain your answer.

Answers

Answer: $45.70 per day

Step-by-step explanation:

$228.50/5=$45.70 per day

A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.

Answers

Answer:

24√2

Step-by-step explanation:

Let the side of the square be x

If the diagonal is 12m (hypotenuse), then;

x^2 + x^2 = 12^2

2x^2 = 144

x^2 = 144/2

x^2 = 72

x = √72

x = √36*2

x = 6√2

Perimeter of the square garden = 4x

Perimeter of the square garden = 4(6√2)

Perimeter of the square garden = 24√2

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the sampling distribution of the time spent studying has approximate distribution

Answers

Answer:

The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Each student:

Mean of 2.2 hours, standard deviation of 2 hours.

Sampling distribution of the time spent studying has approximate distribution

Sample of 200.

By the Central Limit Theorem,

Approximately normal

Mean 2.2

Standard deviation [tex]s = \frac{2}{\sqrt{200}} = 0.1414[/tex]

The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.

Find the area of a triangle where the base is 3 3/4 in and the height is 4 inches.

Answers

A=30
Multiply base times height and then divide by 1/2
(3 3/4)(4)=15
15/(1/2) = 30

find square root of 82369 by division method step by step​

Answers

Answer:

I think this ans may help you

notacion cientifica 123000000​

Answers

Answer:

puro puto✌✌✌✌

Answer:

1.23× 10 ^8

Step-by-step explanation:

mark brainliest

1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42

centimeters. If the base measures 30 centimeters, find the height and the

measure of the two equal angles. Round your answer to the nearest tenth.

Answers

Answer:

1. H = 29 cm

2. θ = 44°

Step-by-step explanation:

1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

[tex] L^{2} = H^{2} + B^{2} [/tex]

Where:

L: is the sides of the isosceles triangle = 42 cm

B: is the base = 30 cm

H: is the height =?

Then, the height is:

[tex] H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm [/tex]

2. The two equal angles (θ) can be found using the following trigonometric identity:          

[tex] cos(\theta) = \frac{B}{L} [/tex]

[tex] \theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ} [/tex]

Hence, the two equal angles are 44°.

I hope it helps you!  

You are charged $9.2 in total for a meal. Assuming that the local sales tax is 7.7%, what was the menu price of this item?

Answers

Answer:

9.91

Step-by-step explanation:

Each day after school, Chelsey runs 2.8 miles farther than Kyle.


Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.
plzz help

Part B. If Kyle runs 4 miles, how many miles does Chelsey run?

Answers

Answer:

6.8 miles

Step-by-step explanation:

First, create the equation representing Chelsey's miles compared to Kyle's:

c = k + 2.8

Next, find how many miles Chelsey runs if Kyle runs 4 miles.

Plug in 4 as k into the equation:

c = k + 2.8

c = 4 + 2.8

c = 6.8

So, Chelsey runs 6.8 miles

Answer:

Question :-

Each day after school, Chelsey runs 2.8 miles farther than Kyle.

Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.

plzz help

Part B. If Kyle runs 4 miles, how many miles does Chelsey run?

Solution :-

Let the miles walk by Chelesy be x

Now,

x = 4 + 2.8

x = 6.8 miles

Therefore,

x = Kyle's mile walked + 2.86.8 miles

[tex] \\ [/tex]

Assume that in the year 2019, 843,000 people attended the Christmas Eve celebration at Walt Disney World
In 2020, attendance for the Christmas Eve celebration is expected to increase by 35%. What is the total
number of people expected at Walt Disney World for this event?
Total number of people
Expected at Walt Disney world for this event

Answers

Answer:

1138050

Step-by-step explanation:

Multiply 843,000 by 0.35 and then add the numbers together.

Please mark brainliest

The length of a rectangle is twice the width. The area is 32 yd2. Find the length and the width.

Answers

W=4 ANS. FOR THE WIDTH. L=2*4=8 ANS.

Mark as brainlist

Please help me!!!!!!!!​

Answers

Answer:

They have the same domain and range (0,∞)

Step-by-step explanation:

If sin(x) = 0.4, then what is tax (x)?

Answers

Answer:

0.43

Step-by-step explanation:

x = sin^-1(0.4)

x = 23.57

tan(23.57) = 0.436

0.43 will be your final answer

A typist type 1800 words in 1 hour. find the number of words she can type per minute.

Answers

Answer:

1800/60=30

Step-by-step explanation:

Answer:

the first answer is correct

A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.

Answers

Answer:

Population = 75,342 households

Sample = 400 randomly selected households

The percentage who live in a single household unit = Parameter

The average of 2.9 person per household of all households in the city = parameter

The $65,000 median family income of all the households in the city = Parameter

Step-by-step explanation:

The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.

The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.

Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.

In this exercise we have to use the knowledge of probability to calculate the chances of choosing a TV approved by the quality control, so:

400  randomly selected households

So, based on the information given in the statement, we have:

Population = 75,342 householdsSample = 400 randomly selected households

Some parameters for this equation are:

The percentage who live in a single household unit The average of 2.9 person per household of all households in the cityThe $65,000 median family income of all the households in the city

The inhabitants of a place refers to all the complete essential feature, attention or subject that fits into the study. In the sequence of events above, the complete household fashionable the city of study. That is, the 75,342 households.

The sample exist the subset of the inhabitants of a place that exist a tinier set of comment on something scrutinized intend expected representative of the best inhabitants of a place. The sample in this place happen the 400 carelessly picked households.

See more about statistics at brainly.com/question/10951564

Classify the numbers. Some numbers may belong in more
than one box.

Answers

Answer:

there's no attachment? can you re list

The radius of a circle is 8 feet. What is the area of a sector bounded by a 144° arc?

Answers

Answer:

[tex] A_{sector} \approx \: 80.38 \: {ft}^{2} [/tex]

Step-by-step explanation:

[tex] A_{sector} = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ A_{sector} = \frac{144 \degree}{360 \degree} \times 3.14 \times {(8)}^{2} \\ \\ A_{sector} = 0.4 \times 3.14 \times {(8)}^{2} \\ \\ A_{sector} = 80.384 \\ \\ A_{sector} \approx \: 80.38 \: {ft}^{2} [/tex]

Can anyone help with 11-15?

Answers

11. 1/3

12. 2/6

13. 1/4

14. 1/5

15. 1/3

Answer:

11. 1/3

12. 2/5

13. 1/4

14. 1/5

15. 1/3

Step-by-step explanation:

Divide by GCF

The ordered pairs show amounts y​ (in inches) of rainfall equivalent to x​ inches of snow.(16, 1.5), (12, 1.3), (18, 1.8), (15, 1.5), (20, 2.1),(23, 2.4)​ About how many inches of rainfall are equivalent to 6 inches of snow? Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

0.57 inches of rainfall is equivalent to 6 inches of snow

Step-by-step explanation:

The given data are presented here as follows;

[tex]\begin{array}{cc}x&y\\16&1.5\\12&1.3\\18&1.8\\15&1.5\\20&2.1\\23&2.4\\\end{array}[/tex]

The data points are approximately linear

From the the trend line of the plotted points of the graph, created with Microsoft Excel, with Forecasting, when there is 6 inches of snow the rainfall is 0.575 inches

By linear regression, we have;

Y = a + b·X

Where;

[tex]b = \dfrac{n \cdot \sum XY - \left (\sum X \right ) \cdot \left (\sum Y \right )}{n \cdot \sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b \cdot \sum X}{n}[/tex]

∑x = 104

∑y = 10.6

∑(x·y) = 191.7

(∑x)·(∑y) = 1102.4

(∑x)² = 10816

n = 6

SigX^2 = 1878

Plugging in the values, gives;

[tex]b = \dfrac{6 \times191.7 - 1102.4}{6 \times 1878 - 10816} \approx 0.10575[/tex]

[tex]a = \dfrac{10.6 - 0.10575 \times 104}{6} \approx -0.06637[/tex]

Therefore;

Y = 0.10575·x - 0.06637

When x = 6 inches, we have;

Y = 0.10575 × 6 - 0.06637 = 0.56813

Y = 0.56813 inches ≈ 0.57 inches of rainfall

Therefore;

0.57 inches of rainfall is equivalent to 6 inches of snow

In a survey of a community, it was found that 55%
like summer season, 20% like winter season, 40%
don't like both seasons and 750 like both seasons. By
using Venn diagram, find the number of people who
like winter season.​

Answers

Answer:

The number of people who like winter season is 1000.

Step-by-step explanation:

Event event correspond to a set in the Venn diagram, and we use it to find the percentages.

I am going to say that:

Event A: Like summer season

Event B: Like winter season.

55% like summer season

This means that [tex]P(A) = 0.55[/tex]

20% like winter season

This means that [tex]P(B) = 0.2[/tex]

40% don't like both seasons

This means that 100% - 40% = 60% like at least one, which means that [tex]P(A \cup B) = 0.6[/tex]

Proportion who like both:

This is [tex]P(A \cap B)[/tex]. The measures are related by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

Using what we have

[tex]P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15[/tex]

750 like both seasons.

This is 15% of the sample. So the total number of people is t, for which:

[tex]0.15t = 750[/tex]

[tex]t = \frac{750}{0.15}[/tex]

[tex]t = 5000[/tex]

20% like winter season

Out of 5000. So

0.2*5000 = 1000

The number of people who like winter season is 1000.

I need help please help me

Answers

Answer:

a. 85 m

b. 96 cm

Step-by-step explanation:

Work for (a.)

95 x 2 = 190. 360 - 190 = 170170 ÷ 2 = 85Final Answer: 85 m

Work for (b.)

58 x 2 = 1165568 ÷ 58 = 96 To make sure: 96 x 58 = 5568Final Answer: 96 cm

Write an equation in slope intercept form of the line that passes through the points (2.6) and (-4,-2).

Answers

Not sure if this is the right answer but try math-way it helps me a lot.



Determine the 12th term of the following Arithmetic sequence, 5 ; 12; 19;... (2)

Answers

Answer:

26-33-40-47-54-61-68-75-82-89-96

Six out of the 12 members of the school choir boys. In the simplest form, what fraction of the choir is boys? Pls help out with this question

Answers

Answer: 1/2

Hope that helps :)

4(x + 3) + 2x = 6(x + 2)

Answers

Answer:

answer is 0

Step-by-step explanation:

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