The amount of mustard dispensed from a standard dispenser is normally distributed with a mean of 0.9oz and a variance of 0.01oz. If a family of six buys ten hotdogs total and dispenses mustard onto each one using the standard dispenser, what is the probability that more than 3 of them will have more than one ounce of mustard?

Answers

Answer 1

Answer:

the probability that more than 3 of them will have more than one ounce of mustard is 0.05975

Step-by-step explanation:

Given te data in the question;

let x rep the quantity of mustard on a hotdog ( in oz)

so

X → N ( u = 0.9, α² = 0.01 )

now P( more than one ounces of mustard on a hotdog) will be

P( X>1 ) = P( Z > ((1-0.9)/(√0.01)) ) = P( Z > 1 ) = 1 - P( Z < 1 )

= 1 - 0.84134 = 0.15866

Also let Y rep the number of hotdogs that have more than one ounces of mustard, so

Y → Bin( n = 10, p = 0.15866 )

P( y = y ) = (¹⁰ _y) ( 0.15855)⁰ ( 1 - 0.15866 )^10-y, y = 0,1,2,3......, 10

so required probability = P(Y > 3) = 1 - P(Y ≤ 3)

= 1 - P(Y=0) - P(Y=1) - P(Y=2) - P(Y=3)

=1 -  (¹⁰ ₀) ( 0.15855)⁰ (1 - 0.15855)¹⁰⁻⁰ - (¹⁰ ₁) ( 0.15855)¹ (1 - 0.15855)¹⁰⁻¹ - (¹⁰ ₂) ( 0.15855)² (1 - 0.15855)¹⁰⁻² - (¹⁰ ₃) ( 0.15855)³ (1 - 0.15855)¹⁰⁻³

= 0.05975

Therefore the probability that more than 3 of them will have more than one ounce of mustard is 0.05975


Related Questions

Write each parabola in the form y−k=a(x−h)^2 and determine its vertex: y=−4x^2+16x−19

Answers

X = -b/2a
-16/2(-4) = 2
Substitute 2 into the equation
Y = -4(2)^2 + 16(2) - 19
Y = -16 + 32 - 19 = -3
Vertex = (2, -3)
Vertex form y+3=-4(x-2)^2

Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the function
p() = 45 +35x, where x represents the time, in hours, that the plumber used to complete the job.
Mr. Barnes budgeted $220 to pay the plumber for the job.
After how many hours will the cost of the job exceed Mr. Barnes's budget?

Answers

Answer:

After 5 hours

Step-by-step explanation:

Given

[tex]p(x) = 45 + 35x[/tex]

Required

Determine what time the budget would exceed $220

To do this, we simply substitute 220 for p(x)

[tex]220 = 45 + 35x[/tex]

[tex]220 - 45 = 35x[/tex]

[tex]175= 35x[/tex]

Solve for x

[tex]x = 175/35[/tex]

[tex]x = 5[/tex]

So, Mr. Barnes would exceed his budget after 5 hours

IM DUMB HELP ME WAAAAAAAAA

Answers

Answer:

Sales tax (6.5% of Subtotal) would be

The total amount comes out to

Step-by-step explanation:

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The first step to change a fraction to a percent is to ...
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Answers

Answer:

a

Step-by-step explanation:

i am smart

Answer:

B

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1/2 ------>  0.5 -----------> 50%

To change a percent into a decimal move the decimal place twice to the left. Like so:

85.5% ------> 0.855

Step-by-step explanation:

i just got done cutting and taking out the seeds of chilies and i went to go use the restroom and now my bottom part is BURNING HELP ME

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Answer:

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Step-by-step explanation:

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2. Weekly CPU time used by an accounting firm has a probability density function (measured in hours) given by

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Answer:

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Step-by-step explanation:

4 * 20 = 80

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Answers

Answer:

-15

Step-by-step explanation:

-15 hope this helped!!

In a group of 343 children, 104 have a swing set, 126 have a trampoline and 42 have a swing set and trampoline. How many have a swing set only?a. 20b. 72c. 62d. 54e. 52f. none of above

Answers

Answer:

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Which ratio is an equivalent ratio to the tape diagram? Select all that apply.

12 to 15
3 to 4
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Answers

Answer:

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Step-by-step explanation:

the answer is 4 to 10 its a 50 50 chance of wrong or right

Answer:

b

Step-by-step explanation:

I'm going with my gut along with what the image shows me.

The science center has 200 people in attendance on Monday. The center expects Saturday's attendance to be 140
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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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For the x-intercept the line does not go up and down but it goes to the left -250.

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Answers

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Answers

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Answers

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Step-by-step explanation:

Answer:

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Answers

Answer: 105ft^3

Step-by-step explanation:

Answer:

[tex]105ft^{3}[/tex]

Step-by-step explanation:

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8 | 0

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Answers

Answer:

1)  10

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Answers

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(2/120) * 120 = (3/x) * 120

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2 = 3 * (120/x)

2/3 = (120/x)

To solve for x, we can multiply both sides of the equation by x:

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Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

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Answers

Answer:

$1,815

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Answers

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A.

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Step-by-step explanation:

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Answers

Answer:

78

Step-by-step explanation:

Hi

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you can also do  500 * 11/100 = 55

Please help asap
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Answers

Answer: Its already in its simple form

Step-by-step explanation:

uhh .6? or is it a different kind of question
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