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hjlf
3 years ago
13

A parking lot has two entrances. Cars arrive at Entrance 1 according to a Poisson Probability Distribution at an average of thre

e per hour and at Entrance 2 according to a Poisson Probability at an average of four per hour. What is the probability that a total of three cars will arrive at the parking lot in a given hour. What is the probability that a total of three will arrive at the parking in a given hour? Assume that the numbers of cars arriving at the two entrances are independent. [Hint: This is hard but not as hard as you think].

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

<u><em>note:</em></u>

<u><em>please find the attached solution</em></u>

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Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a
Natasha_Volkova [10]

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 2.064

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29

The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

6 0
3 years ago
David’s statement shows a previous balance of $5834.53, a payment of $150, and new transactions totaling $325. His APR is 20.4%.
DaniilM [7]
Finance charge
(5,834.53−150)×(0.204÷12)=96.64

New balance
5,834.53−150+96.64+325
=6,106.17
8 0
3 years ago
Read 2 more answers
A notha wun ........
geniusboy [140]
Slope is -1/5

Y-intercept is 21

Equation is y=-1/5x+21

Yes it’s proportional :)
5 0
3 years ago
Read 2 more answers
Factor 200t+8t^3-80t^2
valina [46]

Answer:

8t(t - 5)^2

Step-by-step explanation:

I would immediately rearrange these terms in descending order by powers of t:

8t^3 - 80t^2 + 200t

Then I'd factor out 8t:

8t(t^2 - 10 t + 25).

Finally, I'd factor the quadratic t^2 - 10 t + 25:

(t - 5)^2

and so 200t+8t^3-80t^2 in factored form is 8t(t - 5)^2.

6 0
3 years ago
Read 2 more answers
I NEED HELP ASAP!!!!
dedylja [7]

Answer:

B) 8

Step-by-step explanation:

Triangles MNC and RSC are similar because all 3 angles are the same, so the the ratio between each side should be the same.

If NC=12 and SC=6 then triangle MNC is scaled up by 2 from triangle RSC. This means each side of MNC is 2 times bigger than on RSC. So, sense RS=4, we can multiply that by 2 to get MN=8.

8 0
2 years ago
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