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barxatty [35]
3 years ago
11

Write 4,300 in scientific notation

Mathematics
1 answer:
natita [175]3 years ago
8 0
4,300 is 4.3×
{10}^{3}
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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
mash [69]

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)

7 0
3 years ago
Express your answer in scientific notation.<br> 1.8x 10^-2 – 3.9 x 10^-3 =
DIA [1.3K]

Answer:

1.41 x 10^-2

Step-by-step explanation:

1.8 x 10^-2 - 3.9 x 10^-33 = 18 x 10^-3 - 3.9 x 10^-3

                                        = (18-3.9) x 10^-3

                                        = 14.1 x 10^-3

                                        = 1.41 x 10^-2

Comment below if you have any questions! If you could mark this answer as the brainliest I would appreciate it!

4 0
2 years ago
Select True or False for each statement.
ludmilkaskok [199]
One is false, two is true. Hope I helped
5 0
3 years ago
F(x) = -6x-1<br> f(-1/2) = ?
UNO [17]

Answer:

Intersection point of this is (0,-0.5)

Step-by-step explanation:

Hope this helps :)

7 0
3 years ago
Evaluate <br><br> -3+2 / -5+-1 /6+-4 / -2+-7
irinina [24]

Answer: -3+2 = -1 / -5+-1 = -6 / 6+-4 = 2 / -2+-7 = -9

Step-by-step explanation: oof

3 0
3 years ago
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