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Len [333]
3 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]3 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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Answer:

b

Step-by-step explanation:

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Plz help due soon!!!
kondor19780726 [428]

Answer:

Option A: 6 to 9 , 9/12 is the correct answer.

Step-by-step explanation:

The equivalent ratios simplify to same simple ratio.

In case of this question, we have to check which to the ratios doesn't simplify to 3:4 or 3/4

Option A:

6 to 9 , 9/12

6 to 9 can be written as:

=\frac{6}{9}\\= \frac{2}{3} \neq \frac{3}{4}

9/12 simplifies to 3/4

But as one of the ratio doesn't simplify to 3:4 which means 6 to 9 is not equivalent to 3:4

Hence,

Option A: 6 to 9 , 9/12 is the correct answer.

4 0
3 years ago
The probability a household in a community uses gas for cooking is 0.18. If a shopper from the community is from a household tha
Lyrx [107]

Answer:

The probability of a person from the community not shopping at Prime Foods given that he uses gas for cooking at his household is 0.092

Step-by-step explanation:

Hello!

Given the information:

A: "The household uses gas for cooking" ⇒ P(A)= 0.18

B: "The person from the comunity shops at Prime Foods"

The person shops at Prime Foods given that he uses gas for cooking:

P(B/A)= 0.7

The person shops at Prime Foods given that he doesn't use gas for cooking:

P(B/Ac)= 0.35

If the person doesn't shop at Prime Foods, what is the probability that he uses gas for cooking?

Symbolically:

P(A/Bc) =<u> P(A∩Bc) </u>

                   P(Bc)

The event Bc is the complement of event B, so it's probability is P(Bc)= 1 - P(B)

You can calculate the probability of B as:

P(B)= P(A∩B)+ P(Ac∩B)

Using the information of P(B/A)= 0.7 and P(B/Ac)= 0.35 you can reach the values of both intersections.

P(B/A)=<u> P(A∩B) </u>

                P(A)

P(B/A)*P(A)= P(A∩B)

P(A∩B)= 0.7*0.18= 0.126

and

P(B/Ac)=<u> P(Ac∩B) </u>

                 P(Ac)

If A and Ac are complementary events, then P(Ac)= 1 - P(A)= 1 - 0.18= 0.82

Then:

P(B/Ac)*P(Ac)= P(Ac∩B)

P(Ac∩B)= 0.35*0.82= 0.287

The probability of B is:

P(B)= P(A∩B)+ P(Ac∩B)= 0.126+0.287= 0.413

P(Bc)= 1 - P(B)= 1 - 0.413= 0.587

And

P(A)= P(A∩B)+P(A∩Bc)

P(A∩Bc)=P(A)=-(A∩B)= 0.18-0.126= 0.054

Finally:

P(A/Bc) =<u> P(A∩Bc) </u>=<u>0.054 </u>= 0.0919≅ 0.092

                   P(Bc)     0.587

I hope it helps!

4 0
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Help with geometry??
pishuonlain [190]

Answer:

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Step-by-step explanation:

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In the diagram below, quadrilateral ABCD is inscribed in a circle. What is the measure of angle D?
grin007 [14]

Given:

In the circle P, ABCD is inscribed quadrilateral.

And, ∠DAB = 110°, ∠ABC = 72°

To find the value of ∠ADC.

Theorem:

A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary [ sum of the opposite angles will be 180°]

According to the theorem,

\angle ABC+\angle ADC = 180^{\circ}

     \angle ADC +72^{\circ} = 180^{\circ}

               \angle ADC = 180^{\circ}-72^{\circ}

               \angle ADC = 108^{\circ}

Hence,

The value of ∠ADC is 108°.

Hence, Option b is the correct answer.

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