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tigry1 [53]
2 years ago
9

Help with the following photo

Mathematics
1 answer:
lakkis [162]2 years ago
8 0

Step-by-step explanation:

The solution is in the attached file

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Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo
jenyasd209 [6]

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! =  (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

P(X₅= 3) = 0.086894

P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

8 0
3 years ago
[2(3+5)-2(4+1)]5 what is the value?
Jet001 [13]
<span>[2(3+5)-2(4+1)]5
=</span><span>[2(8)-2(5)]5
=</span><span>[16-10]5
=6*5
=30</span>
7 0
3 years ago
Read 2 more answers
Consider three events A, B and C with following properties.
lisov135 [29]
By the inclusion/exclusion principle,

\mathbb P(D)=\mathbb P(A\cup B\cup C)
\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)
\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}
\mathbb P(D)=\dfrac{16}{39}\neq1

So the union of A, B, and C does not constitute the entire sample space.
5 0
3 years ago
Answer the problem in the picture please
Murljashka [212]

Answer:

-1.23 is the correct answer

Step-by-step explanation:

-0.3×4.1 = -1.23 because when multiplying the negative is given to the answer unless there are 2 negatives in which case they cancel out.

4 0
3 years ago
Find the product. tell which strategy you used. show work
tino4ka555 [31]
8•25•23=
25 eight times is 25 four times + 25 four more times
((25•4)+(25•4))•23= (100+100)•23= 200•23= 2•23•100= 46•100= 4,600
7 0
3 years ago
Read 2 more answers
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