PLEAS HELP ASAP Fill in the missing probabilities on your paper and then answer the questions below. Make sure to type the ZERO before the decimal point. (example: 0.3 rather than .3) Give exact answers - do not round. please please please please help
Answers
This question is solved using probability concepts. We derive the probabilities from the tree given in the exercise, and with this, added to the use of conditional probability, we get the desired probabilities.
The probabilities are:
P(A) = 0.7, P(A and B) = 0.14, P(B) = 0.26, P(A or B) = 0.82, P(not B given A) = 0.8
Conditional probability:
In this problem, conditional probability concepts are used, and for this, we have that:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
P(A)
At the first node, we have that:
P(A) = 0.7
P(A and B):
From the first node, we have that [tex]P(A) = 0.7[/tex]
From A to B, there is 0.2, which means that [tex]P(B|A) = 0.2[/tex]
Thus
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]0.2 = \frac{P(A \cap B)}{0.7}[/tex]
[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]
So
P(A and B) = 0.14
P(B):
P(B) = P(A and B) + P(not A and B).
P(not A) = 0.3, P(B|not A) = 0.4, then:
[tex]P(not A and B) = 0.3*0.4 = 0.12[/tex]
P(B) = 0.14 + 0.12 = 0.26
P(A or B)
We have that:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
We already have the three of them, so just replace:
[tex]P(A \cup B) = 0.7 + 0.26 - 0.14 = 0.82[/tex]
Then
P(A or B) = 0.82
P(not B given A)
If A happens, either B happens, or it does not. That is:
P(B|A) + P(not B|A) = 1
Since P(B|A) = 0.2
P(not B|A) = 1 - 0.2 = 0.8
Then
P(not B given A) = 0.8
To take another look at conditional probability, you can check https://brainly.com/question/24161830
Related Questions
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Answer:
Download gauthmath it will help Jesus loves you
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Answer:
Area: 2(15 + (x - 5))
Perimeter: 2(15)+2(x - 5)
Step-by-step explanation:
To find area you need to add the two sides together and multiply by two, this is as far as you can get with x.
Area: 2(15 + (x - 5))
To find perimeter, you need to find the singular lengths and multiply by two so this is as far as you can get.
Perimeter: 2(15)+2(x - 5)
Hope this helped.
the circumference of a circle is 11pi ft. find its diameter, in feet
Answers
Answer:
The diameter would be 11 feet
Step-by-step explanation:
C = pi * d
we don't know D so we rearrange the equation to solve for D by dividing both sides by pi:
C/pi = d
Now we plug in everything
11pi/pi = d
The pi cancel each other out leaving with 11 feet
Therefore D = 11 feet
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Answer:
Option: 1Step-by-step explanation:
Let,
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Answer:
option 1
Step-by-step explanation:
i did the quiz
4. (a) Determine the sum of the interior angles of a dodecagon (12-sided polygon). Show your
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Answers
Answer:
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Step-by-step explanation:
a- 12-2×180=1800
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Answer:
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steAnswer:
Step-by-step explanation:
step1 5(9x-8)=4(x+2)
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step3 41x=48
step 4 x=48/41
Find max, min of f(x)=|x^2+4x-5| (x∈[-3;0])
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A cell phone tower services a circular region
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Area of a circle: pi x r^2
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Hope this helps!
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Answer:
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Step-by-step explanation:
geometry: follow directions below for each for each figure. show steps. circle answers. find the area of each figure!!
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Answer:
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Step-by-step explanation:
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Which expression is equivalent to (3^2)^-2
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Answer:
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Step-by-step explanation:
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3 ^(2*-2)
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Step-by-step explanation:
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What is the value of the expression 53.5-5? please explain
Answers
Reason- an expression is an equation without an equal sign and this expression is saying 53.5 - 5.
Answer:
48.5
Step-by-step explanation:
53.5
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48.5
5 tenths - 0 tenths = 5 tenths (.5)
3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)
the 5 in the tens position becomes a four because one got "borrowed"
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− 96 ÷ −6 ÷ 8 =
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Answer:
answer is 2
Step-by-step explanation:
answer is 2…………………………………
Please hurry I will mark you brainliest
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Answer:
y=2x-1
Step-by-step explanation:
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Answer:
Slope = 2, Y intercept = -1
Step-by-step explanation:
For the Slope use Rise/Run to calculate (you go two up and 1 over which means 2/1 which equals 2).
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Answers
Answer:
19. 11
21. 119
Step-by-step explanation:
19.
(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =
= (-5)² - [4(-6 + 4)² + 3] + 5
= (-5)² - [4(-2)² + 3] + 5
= (-5)² - [4(4) + 3] + 5
= (-5)² - [16 + 3] + 5
= 25 - 19 + 5
= 6 + 5
= 11
21.
5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =
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= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 14] - 3² · (-2)
= 5 - 8[2 - 14] - 3² · (-2)
= 5 - 8[-12] - 3² · (-2)
= 5 - (-96) - 9 · (-2)
= 5 + 96 + 18
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= 119
What are the coordinates of the terminal point determined t= 10pi/3?
Answers
we know that :
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600=360+240
240 degrees belong to the III quadrant so
the x-coordinate is negative
the y-coordinate is negative
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60 degrees is the angle to find the terminal point
let ∅=60°
in the unit circle
r=1 units
x=-r*cos ∅----> x=-cos 60------> x=-(1/2)
y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2
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Answer:
SEE BELOW
Step-by-step explanation:
1. find value of m
a^2 + b^2 = c^2
7.5^2+10^2=c^2
15+100=c^2
115=c^2
square it
=10.7 (not answer)
a^2+b^2=c^2
10.7^2+30^2=c^2
114.49+900=c^2
1014.49=c^2
square it
m=31.9
2.20^2 + 21^2 = 841
29^2=841
yes the triangle is right angled !!!
hope this helps :)
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Answer:
40√3 cm²Step-by-step explanation:
Step 1
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Answer:
x = 13.5
Step-by-step explanation:
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------- = --------
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Step-by-step explanation:
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Answer:
the degree is the value of the highest exponent... 4x^3 the exponent is a three
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Step-by-step explanation:
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Answer:
2nd is the correct answer for your question
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First term is 6 (1/2)^4
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Find the measure of the indicated angle to the nearest degree
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Answer:
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Step-by-step explanation:
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A square has an area of 49 cm squared what is the length of each side
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Answer:
7
Step-by-step explanation:
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Solve T=L(2+RS) for R
Answers
Answer:
Step-by-step explanation:
I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have
T = 2L + LRS
Next subtract the 2L to get
T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get
[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R In that second term, the L's cancel each other out, leaving us with
[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R
what is 5cd
when c = 3
and d = 4
Answers
Answer:
60
Step-by-step explanation:
5*3*4
SOME ONE PLEASE ACTUALLY HELP ME
Answers
Answer:
y = 658.3 ft
Step-by-step explanation:
x = 745.5 ft
y = 658.3 ft
tan 28 = 350/y
y = 658.3
Answered by GAUTHMATH
Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
What was the price yesterday?
Answers
Answer:
780
Step-by-step explanation:
Let x be the original price
x - x*72% is the new price
x - .72x = 218.40
.28x = 218.40
Divide each side by .28
.28x/.28 = 218.40/.28
x =780
