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3 years ago

6

If you know the names of the remaining nine students in the spelling bee, what is the probability of randomly selecting an orde

r and getting the order that is used in the spelling bee?

1 answer:

VARVARA [1.3K]3 years ago

3 0

It is either 1/81 or 1/162

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Customers arrive at a service facility according to a Poisson process of rate λ customers/hour. Let X(t) be the number of custom

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Answer:

Step-by-step explanation:

Given that:

X(t) = be the number of customers that have arrived up to time t.

$W_1,W_2$ ... = the successive arrival times of the customers.

(a)

Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;

$E(W_!|X(t)=2) = \int\limits^t_0 {X} ( \dfrac{d}{dx}P(X(s) \geq 1 |X(t) =2))$

$= 1- P (X(s) \leq 0|X(t) = 2) \\ \\ = 1 - \dfrac{P(X(s) \leq 0 , X(t) =2) }{P(X(t) =2)}$

$= 1 - \dfrac{P(X(s) \leq 0 , 1 \leq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}$

$= 1 - \dfrac{P(X(s) \leq 0 ,P((3 \eq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}$

Now $P(X(s) \leq 0) = P(X(s) = 0)$

(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;

$E(W_1|X(t) =2 ) = \int\limits^t_0 X (\dfrac{d}{dx}P(X(s) \geq 3 |X(t) =5 )) \\ \\ = 1- P (X(s) \leq 2 | X (t) = 5 ) \\ \\ = 1 - \dfrac{P (X(s) \leq 2, X(t) = 5 }{P(X(t) = 5)} \\ \\ = 1 - \dfrac{P (X(s) \LEQ 2, 3 (t) - X(s) \leq 5 )}{P(X(t) = 2)}$

Now; $P (X(s) \leq 2 ) = P(X(s) = 0 ) + P(X(s) = 1) + P(X(s) = 2)$

(c) Determine the conditional probability density function for W2, given that X(t)=5.

So ; the conditional probability density function of $W_2$ given that X(t)=5 is:

$f_{W_2|X(t)=5}}= (W_2|X(t) = 5) \\ \\ =\dfrac{d}{ds}P(W_2 \leq s | X(t) =5 ) \\ \\ = \dfrac{d}{ds}P(X(s) \geq 2 | X(t) = 5)$

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3 years ago

According to a survey of workers 6/50 of them walk to break 3/50 bike 10/50 carpool and 31/50 Drive alone what percent of worker

otez555 [7]

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x 100=18 percent

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2 years ago

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Y_Kistochka [10]

Answer:

The answer is b because you are taking away from susan

Step-by-step explanation:

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2 years ago

A system of linear equations is graphed on this coordinate grid.

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In a election 210 people voted if there were 1260 possible voters what is the ratio of to nonvoters

Goshia [24]

1260
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The ratio of voters to nonvoters is 210 to 50.

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3 years ago