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2 years ago

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Suppose that of all babies born in a particular hospital are girls. If babies born in the hospital are randomly selected, what i

s the probability that at most of them are girls

1 answer:

mario62 [17]2 years ago

5 0

Answer:

100%

Step-by-step explanation:

If all the babies born in that hospital are girls then if randomly selected they will all be girls because there are no boys even at that hospital.

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At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a

morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = $\dfrac{15}{120}=0.125$

As we know the poisson process, we get that

$P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda$

So, for exactly one car would be

P(n=1) is given by

$=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599$

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

$0.2599\times 18=4.6798$

We will find the traffic flow q such that

$P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr$

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

$P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%$

Hence, a) 4.6798, and b) 19.8%.

7 0

3 years ago

Can ya help me please. i need it

ankoles [38]

Answer: Since I don't really understand the question it's asking, I would assume that the answer for no. 1 is Swiss, and the answer for no. 2 is Cheddar. I know it's not completely an accurate assumption, and it might be wrong, but that's just what I think it'd be.

Step-by-step explanation:

7 0

3 years ago

Please help, due tomorrow. will give brainlist

Tatiana [17]

Step-by-step explanation:

By Remainder Theorem, f(5) = 91.

=> (5)³ - 4(5) + k = 91

=> 125 - 20 + k = 91

=> 105 + k = 91

=> k = -14.

8 0

3 years ago

Help for number 12 pls

Marianna [84]

10 minutes left of homework

7 0

3 years ago

Read 2 more answers

24:12 in its simplest form

natima [27]

Answer: 2/1

Step-by-step explanation:

24 divided by 12 equals: 2/1

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3 years ago

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