(Extra Credit) Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 75% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. If it has an emergency locator, what is the probability that it will not be discovered?

Answers

Answer 1

Answer:

0.0323 = 3.23% probability that it will not be discovered

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Has emergency locator

Event B: Probability it will not be discovered.

Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.

So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].

90% of the aircraft not discovered do not have such a locator.

So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]

Probability of having the locator:

75% of 80%(Discovered).

10% of 20%(Not discovered). So

[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]

If it has an emergency locator, what is the probability that it will not be discovered?

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]

0.0323 = 3.23% probability that it will not be discovered


Related Questions

The piecewise function h(x) is shown on the graph.
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Answers

Answer:

In the given graph h(x)

When x=3, h(3)=1

1 is the right answer.

Paul picked 5482 peaches. Peter
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hey pick altogether?

Answers

Answer:

71,266 peaches

Step-by-step explanation:

paul=5482

peter=5482*4=21,928

sam=21928*2=43,856

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If a car travels at an average speed of 68 miles an hour, how many miles will the car
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Answers

Answer:

I did the math and I think its 238 if I'm wrong I'm sorry

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Answers

-5x-3 (that’s if you are asking for that to be simplified)

2 Find the area of the
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5in
3in
8in
15in
A 51 square inches
B 75 square inches
C 9 square inches
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Answers

A.51
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Answer:

A.51

Step-by-step explanation:

help asap i will give brainliest

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6

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What exactly is the Purple Cow Poem about?

Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.

here, we have,

In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.

According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.

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Please help thank you! (read the screenshot)

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Answer:

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Question 12
The average mass of Jeremy, Mark and Zack is 28 kg. If Jeremy and Zack's average mass is
29kg. How heavy is Mark?​

Answers

Answer:

Mark's mass is 26 kg.

Step-by-step explanation:

Average mass of Jeremy, Mark and Zack = 28kg

Average mass of Jeremy and Zack = 29 kg

Let,

Jeremy's mass = x

Mark's mass = y

Zack's mass = z

Average of three of them = [tex]\frac{Jeremy's mass + Mark's + Zack's}{3}[/tex]

28 = [tex]\frac{x+y+z}{3}\\[/tex]

[tex]28*3 = x+y+z\\84 = x+y+z[/tex]

x+y+z = 84     Eqn 1

[tex]29 =\frac{x+z}{2}\\58=x+z\\[/tex]

x+z = 58    Eqn 2

Now putting value of x+z from Eqn 2 in Eqn 1

x + z + y = 84

58 + y = 84

y = 84 - 58

y = 26

Thereofore,

Mark's mass is 26 kg.

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Answers

Answer:

any positive whole number more than 0

or one example is 5/4

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Answers

Answer:

1=1

2=43

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Step-by-step explanation:

the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

60%

Step-by-step explanation:

Explanation:

To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by  

100

%

.

So there are  

30

people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of  

50

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30

50

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5

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Answers

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Step-by-step explanation:

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Answers

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Will give brainless ⭐️!!!
A triangle is translated 4 units down and 8 units to the right
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o (x, y) - (x - 8, y + 4)
O (x, y) - (x - 4, y + 8)
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Answers

Answer:

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Determine the x- and y-intercepts of the graph of x−4y=8.

Then plot the intercepts to graph the equation.

Answers

Answer:

y-intercept = -2

x-intercept = 8

Step-by-step explanation:

[tex]x - 4y = 8\\x = 0 => y = -2\\y=0 => x = 8[/tex]

2
A sum of money is shared in the ratio 2:3
If the larger share is £27, how much money is there altogether?

Answers

Answer:

45 euros

Step-by-step explanation:

When the whole ratio is equals to 5 and 3 parts are 27 euros first we should find of one part which 27 divide by 3 equals to 9 then 9 times 5 equals to 45 euros the answer is 45 euros

The shares are 2x and 3x.
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Answers

Answer:

16 subsets

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Answer:

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sdjnf ewaihfbashehkf liq4bf;wjhf

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Answers

Answer:

3/1

Step-by-step explanation:

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= 6÷4/2

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Answers

Answer:

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Answers

Answer:

Step-by-step explanation:

The way to do this (I think) is to figure out the probability of not getting said king on either throw.

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Total probability = 51/52*50/51 = 50/52

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I have a feeling that this is not correct. If you get a different answer  that looks reasonable, take it.

Drag each expression to show whether it is equivalent to 6(4x−1), 24x+6, or (4⋅6x)+(4⋅2) somebody please help me i need to get this right

Answers

1.We have to find equivalent expression of ⇒ 54 x+18

These are the equivalent expression of

=3×3×3×2× x+3×3×2

=3×3×2×(3 x+1)

=18×(3 x+1)

2.⇒Equivalent expression of→ 18×(3 x-1)

=18× 3 x -18------[Using commutative property of Multiplication with respect to subtraction)

=54 x-18

3.⇒Equivalent expression of→6×9 x+ 6×1

                 =54 x +6

⇒Option B

6×9 x +6×3-------equivalent expression of →54 x+18

⇒Option C

54 x+6-------equivalent expression of →6×9 x+ 6×1

⇒Option D

3×(18 x+2)------equivalent expression of →6×9 x+ 6×1

⇒Option F

9×6 x -9×2-------equivalent expression of → 18×(3 x-1)

(credit to: not me-)

Answer:

wrong question i'm sorry, but I can't delete this lol so here's my question :(

Drag each expression to show whether the expression is equivalent to 12x−6, 24x+12, or neither.

help please (place and label the following numbers on the number line. Order them as best as you can.)
-1
1.75
-1.75
-2
-2.5
-5/2
9/4

Answers

Answer:

least to greatest in order: -5/2(-2.5), -2.5, -2, -1.75, -1, 1.75, 9/4(2.25)

The numbers -1, 1.75, -1.75, -2, -2.5, -2.5, and 2.25 represented on the number line are given below.

What is a number line?

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The following numbers on the number line are given below.

-1, 1.75, -1.75, -2, -2.5, -5/2, 9/4

Convert the fraction number into a decimal number. Then we have

-1, 1.75, -1.75, -2, -2.5, -5/2, 9/4

-1, 1.75, -1.75, -2, -2.5, -2.5, 2.25

The numbers -1, 1.75, -1.75, -2, -2.5, -2.5, and 2.25 represented on the number line are given below.

More about the number line link is given below.

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Find the length of the line segment formed by the points (2, 3) and (2, 5)

Answers

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units

Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour?

Answers

Answer:

3 7/10 miles

Step-by-step explanation:

divide miles by hours

11/5 ÷ 7/12  =  11/5 · 12/7  =  132/35 or 3.7 mph

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