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Cloud [144]
3 years ago
14

8. Let X be the number of cars per minute passing a certain point of some road between 8am and 10am on a Sunday. Assume that X h

as a Poisson distribution with mean 5. Find the probability of observing 3 or fewer cars during any given minute.
Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

P (3 or fewer) =0.2650

Step-by-step explanation:

Mean = x` = 5

The Poisson distribution formula  is given by

P(X) = e-ˣ` x`ˣ/ x!

The mean is 5 and the X takes the values 0,1,2,and 3 which means 3 or fewer, so we add the probability of all the values of X to get the desired Value of X.

P(3 or fewer ) = e-⁵ (5)³/3!+  e-⁵ (5)²/2! +e-⁵ (5)/1!+e-⁵ (5)⁰/0!

Putting the Values

P (3 or fewer) = 0.006737 . 125 / 6 + 0.006737 . 25 / 2 +0.006737 . 5 / 1 + 0.006737 . 1 / 1

P (3 or fewer) = 0.140374 + 0.08422+ 0.03369 +0.006737

P (3 or fewer) =0.2650

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Daniel [21]

Answer: If we define 2:00pm as our 0 in time; then:

at t= 0. the velocity is 30 mi/h.

then at t = 10m (or 1/6 hours) the velocity is 50mi/h

Then, if we think in the "mean acceleration" as the slope between the two velocities, we can find the slope as:

a= (y2 - y1)/(x2 - x1) = (50 mi/h - 30 mi/h)/(1/6h - 0h) = 20*6mi/(h*h) = 120mi/h^{2}

Now, this is the slope of the mean acceleration between t= 0h and t = 1/6h, then we can use the mean value theorem; who says that if F is a differentiable function on the interval (a,b), then exist at least one point c between a and b where F'(c) = (F(b) - F(a))/(b - a)

So if v is differentiable, then there is a time T between 0h and 1/6h where v(T) = 120mi/h^{2}

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3 years ago
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andrew11 [14]

Answer:

1, pre image 2, transformation

Step-by-step explanation:

6 0
3 years ago
a card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or n
DIA [1.3K]

It is not binomial random variable , since the number of red cards is unknown in the deck of cards in the starting of experiment.

As given in the question,

Number of cards are unknown.

Number of red cards are unknown in the starting of experiment.

Number of times process done =10

For binomial random variable number of red cards should be known.

Therefore, it is not binomial random variable , since the number of red cards is unknown in the deck of cards in the starting of experiment.

Learn more about binomial random variable here

brainly.com/question/14282621

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1 year ago
A jet travels 520 miles in 2 hours. At this rate how far could the jet fly in 12 hours
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3 years ago
Read 2 more answers
0.4x - 1.2 = 0.15x + 0.8 ?????????
valentina_108 [34]

Answer:

x = 8

Step-by-step explanation:

0.4x - 1.2 = 0.15x + 0.8

0.4x - 1.2 + 1.2 = 0.4x

0.15x + 0.8 + 1.2 = 0.15x + 2

0.4x = 0.15x + 2

0.4x - 0.15x = 0.25x

0.15x + 2 - 0.15x = 2

0.25x = 2

0.25x / 0.25 = x

2 / 0.25 = 8

x = 8

7 0
3 years ago
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