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maksim [4K]
3 years ago
13

I have 1,141 point i thought i might share them you here you go

Mathematics
1 answer:
zaharov [31]3 years ago
7 0

Answer:

Thank you, person.

I hope this is good enough:

you want to talk about anything

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Use the formula for the probability of two dependent events P(A and B) to derive the conditional probability formula for P(B | A
gregori [183]

The conditional probability formula for P(B | A) has been derived from two dependent events P(A and B).

<h3>What is said to be dependent events?</h3>

When the outcome from one event influences the outcome of the other, two events are referred to as dependent.

  • Dependent events in probability are generally real-life events that depend on another event to occur.
  • Sam, for example, did well on his math test because he prepared; the gym class used to have a football session even though Adam brought a football from home.
  • When you look at these examples, you will realize that one occurrence is dependent on the other.

Derivation of conditional probability from two dependent events P(A and B) is-

The probability multiplication rule is used to derive the conditional probability formula, P(A and B) = P(A)×P(B|A).

This rule is also known as P(AB). The Union symbol (∪) represents "and," as in event A occurring and event B occurring.

Step 1: Write the multiplication rule down:

           P(A and B) = P(A)*P(B|A)

Step 2: P(A) divides both sides of the equation:

           P(A and B) / P(A) = P(A)*P(B|A) / / P(A)

Step 3: On the right side of the equation, cancel P(A):

           P(A and B) / P(A) = P(B|A)

Step 4: Rewrite the equation as follows:

           P(B|A) = P(A and B) / P(A)

Therefore, P(B | A) conditional probability formula is compiled from two dependent events P (A and B).

To know more about the conditional probability, here

brainly.com/question/10739997

#SPJ4

8 0
1 year ago
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
While eating a big bowl of pho (Vietnamese soup), you discover that the diameter of the bowl is 9 inches. What is the circumfere
Sever21 [200]
Circumference = π × diameter
π × 9 = 28.274333882
To 1dp = 28.3
Circumference = 28.3 inches
7 0
3 years ago
What is the perimeter of this pentagon?
exis [7]

Answer:

the perimeter of the Pentagon is 2.75cm

Step-by-step explanation:

add each side together in decimal form

8 0
3 years ago
There are three marbles in a bag. One is red and two are black. What is the probability of picking a black marble first, putting
Maru [420]

Answer:

well for me I think

Step-by-step explanation:

2/3×2/3

4/9

since they are replacing the black marbles back

6 0
3 years ago
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