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Len [333]
2 years ago
7

Poisson Distribution LEARNING OBJECTIVE: Calculate the probability of a poisson distribution. 3.00 The average number of bridge

construction projects that take place at any one time in a certain state is 7. PIX=k) - 1e - k is the given number of event occurrences A is the average rate of event occurrences Using the Poisson distribution formula, what is the probability of exactly 4 bridge construction projects taking place at one time in this state? Answer choices are rounded to the hundredths place.
a) 0.09
b) 0.19
c) 0.06
d) 0.05
Mathematics
1 answer:
ira [324]2 years ago
5 0

Answer:

the required probability is 0.09

Option  a) 0.09 is the correct Answer.

Step-by-step explanation:

Given that;

mean μ  = 7  

x = 4

the probability of exactly 4 bridge construction projects taking place at one time in this state = ?

Using the Poisson probability formula;

P( X=x ) = ( e^-μ × u^x) / x!

we substitute

P(X = 4) = (e⁻⁷ × 7⁴) / 4!

= 2.1894 / 24

= 0.0875 ≈ 0.09

Therefore the required probability is 0.09

Option  a) 0.09 is the correct Answer.

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natita [175]

Answer:

RC = 40

Step-by-step explanation:

Note that the circumcentre is equally distant from the triangle's 3 vertices.

That is : PC = RC = QC

Equate any pair and solve for x

Using RC = PC, then

5x - 15 = 3x + 7 ( subtract 3x from both sides )

2x - 15 = 7 ( add 15 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Hence

RC = (5 × 11) - 15 = 55 - 15 = 40 units

5 0
3 years ago
Write the percent shown by each model. Explain your reasoning.
Sphinxa [80]
A) 1/3=33 1/3%
B) 2/3=66 2/3%
C) 1/6=16 2/3%

A) YOU CAN TURN THE FRACTION 1/3 INTO A DECIMAL WHICH WILL BE AROUND 0.333. THEN YOU TURN THE DECIMAL INTO A PERCENT. YOU CAN MOVE THE DECIMAL TWO PLACES TO THE RIGHT. THAT GIVES YOU 33.3% OR 33 1/3% THIS ALSO APPLIES TO B BUT WITH 0.666 AND 66.6%

FOR C, YOU DO THE SAME. 1/6 AS A DECIMAL IS 1.666. YOU MOVE THE DECIMAL TWO PLACES TO THE RIGHT. 16.6% OR 16 2/3%


HOPE THIS HELPED.
8 0
3 years ago
Selena and Drake are evaluating the expression , when . Selena's Work Drake's Work Who is correct and why? Selena is incorrect b
Shtirlitz [24]

Answer:

Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.

I did this lesson i asked my teacher to help me but i did this problem on my own so i hope its right :)

Step-by-step explanation:

7 0
3 years ago
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Leno4ka [110]

For this case, the main function is given by:

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We can apply the following transformation:

Horizontal displacements:

Assume h> 0:

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For h = 1 we have:

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Answer:

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Answer:

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That means that π radians = 180 degrees.

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