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Serhud [2]
3 years ago
15

Suppose that E and F are two events and that Upper P (Upper E and Upper F )equals0.3 and Upper P (Upper E )equals0.5. What is Up

per P (F|E )​? Upper P (F|E )equals nothing ​(Type an integer or a​ decimal.)
Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

P(\frac{F}{E}) =\frac{0.3}{0.5} =0.6

Step-by-step explanation:

<u>Step 1</u>:-

Suppose that E and F are two events and that P(E n F) = 0.3

also given P(E) =0.5

<u>Conditional probability</u>:-

if E₁ and E₂ are two events in a Sample S and P(E₁)≠ 0, then the probability of E₂ , after the event E₁ has occurred, is called the <u>Conditional probability</u>

of the event E₂ given  E₁ and is denoted by

P(\frac{F}{E}) = \frac{P(EnF)}{P(E)}

P(\frac{F}{E}) =\frac{0.3}{0.5} =0.6

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If EF = 4x-15, FG=3x-7, and EG =20, find the value of x, EF and FG. The drawing is not to scale.
Andrej [43]

Step-by-step explanation:

EF = 4x - 15

FG = 3x - 7

EG = EF + FG = 20

so,

4x - 15 + 3x - 7 = 20

7x - 22 = 20

7x = 42

x = 6

EF = 4×6 - 15 = 9

FG = 3×6 - 7 = 11

4 0
2 years ago
the ratio of sadia's age to her father's age is 3:6. The sum of their age is 96 .What is sadia's age​
max2010maxim [7]

We have,

a:b=3:6,a+b=96

Introduce variable x such that a=3x,b=6x

The sum a+b=96 is therefore 9x=96\implies x=10.\overline{6}

So,

a=3\cdot10.\overline{6}=\boxed{32} (sadia's age)

b=6\cdot10.\overline{6}=\boxed{64} (father's age)

Hope this helps :)

4 0
3 years ago
G with the definition of covariance, prove cov[(ay − b),(cy − d)] = accov(x, y ), where x, y are random variables and a, b, c, d
____ [38]

By definition of covariance,


\mathrm{Cov}(X,Y)=\mathbb E[(X-\mathbb E[X])(Y-\mathbb E[Y])]


\mathrm{Cov}(X,Y)=\mathbb E[XY-\mathbb E[X]Y-X\mathbb E[Y]+\mathbb E[X]\mathbb E[Y]]=\mathbb E[XY]-\mathbb E[X]\mathbb E[Y]


We have


\mathbb E[(aX-b)(cY-d)]=\mathbb E[acXY-adX-bcY+bd]

=ac\mathbb E[XY]-ad\mathbb E[X]-bc\mathbb E[Y]+bd


\mathbb E[aX-b]=a\mathbb E[X]-b


\mathbb E[cY-d]=c\mathbb E[Y]-d


\mathbb E[aX-b]\mathbb E[cY-d]=ac\mathbb E[X]\mathbb E[Y]-ad\mathbb E[X]-bc\mathbb E[Y]+bd


Putting everything together, we find the covariance reduces to


\mathrm{Cov}(aX-b,cY-d)=ac(\mathbb E[XY]-\mathbb E[X]\mathbb E[Y])=ac\mathrm{Cov}(X,Y)


as desired.

5 0
2 years ago
Please help me I need it
Kobotan [32]

Answer:

A

Step-by-step explanation:

You use the quadratic equation and substitute these values from the equation given

a=1,b=5, c=2

Which gives you the value of option A

6 0
3 years ago
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Vladimir79 [104]

Answer:

2.25

Step-by-step explanation:

in order to find the scale factor from A to B you need to divide B by A. 13.5÷6=2.25. 11.25÷5=2.25 and 4.5÷2=2.25.

therefore the scale factor is 2.25 because when you multiply the sides from A by 2.25 you get the length of the side from B.

5 0
3 years ago
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