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iris [78.8K]
2 years ago
14

(7 points) Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a two-mi

nute phone call, what is the probability that at least 1 car arrives during the call
Mathematics
1 answer:
saveliy_v [14]2 years ago
5 0

Answer:

The probability that at least 1 car arrives during the call is 0.9306

Step-by-step explanation:

Cars arriving according to Poisson process - 80 Cars per hour

If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67   X ≅ Poisson (λ = 2.67)

Now, we find the probability: P(X≥1)

P(X≥1) = 1 - p(x < 1)

P(X≥1) = 1 - p(x=0)

P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!

P(X≥1) = 1 - e^-2.67

P(X≥1) = 1 - 0.06945

P(X≥1) = 0.93055

P(X≥1) = 0.9306

Thus, the probability that at least 1 car arrives during the call is 0.9306.

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Maas has a bank account with less than $400 in it.his bank pays no interest on that account,and charges $2 per month for each mo
jasenka [17]

Answer:

400 - 2 (24 months) = $352

Step-by-step explanation:

7 0
2 years ago
Find the measure of ∠ 7.<br><br> Given:<br> ∠1 is a right angle<br> ∠3 = 37°<br> ∠8 = 62°
Bess [88]

Answer:

<h2>-28°</h2>

Step-by-step explanation:

It is given that ∠1 is a right angle that is ∠1 = 90°.

∠8 - ∠1 = ∠ 7 = 62° - 90° = - 28°.

7 0
3 years ago
The largest side of a triangle is six more units than the smallest side. The third side is twice the smallest side. If the perim
svetlana [45]
Equation:     x + x + 6 = 2x = 25
smallest side is    4.75 units
largest size is      4.75 + 6 = 10.75 units
3rd side is           2(4.75)= 9.5 units

smallest side is    x 
largest size is      x + 6
3rd side is           2x
-----------------------------------
                           4x + 6 = 25 
                                  -6     -6
                             <u>4x</u> = <span><u>19</u>
</span>                             4        4

x = 4.75 is the smallest side


smallest side is    4.75 units
largest size is      4.75 + 6 = 10.75 units
3rd side is           2(4.75)= 9.5 units

7 0
2 years ago
What is the approximate perimeter of a semicircle with a radius of 8 m? Use pi star times = 3.14. Express your final answer to t
irga5000 [103]
The perimeter of a semicircle consists of two parts. (the curve and bottom)
That curve is half the distance around the circle, since it's been split in half.
The distance around a circle, the circumfrence, is equal to 2πr, where r is the radius of that circle. In this case, the circumfrence of the entire circle would be 16π. and so that curve would have a length of just 8π.
Using 3.14 for π, 8π = 8×3.14 = 25.12.
As for the flat part, that is the diameter (distance across) our circle.
The radius is the distance from the center of a circle to its edge, and always has half the length of the diameter. (you can break the diameter down into two radii)
If our radius is 8 meters, our diameter (the flat part of that semicircle) must be 16.
Now we add up the two parts of the perimeter...25.12 + 16 = 41.12.
5 0
3 years ago
Which is the better buy? 5-pack of toaster pastries for $4.13 or 9-pack of toaster pastries for $7.56
kolbaska11 [484]

Answer: <em>The answer is </em><u><em>9-pack of toaster pastries for $7.56</em></u>

Step-by-step explanation:

<em>Basicly it would be more expensive if you bought 9 for the first option but less for the other.</em>

5 0
2 years ago
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