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valina [46]
3 years ago
8

A statement of an employee's biweekly earnings is given below.

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0
Gross pay = <span>$98.00 + $52.88 + $12.37 + $22.54 + $667.17 = $852.96</span>
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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
Jada has 7/8 cup of cheese. Her cheese bread recipe calls for 1/6 cup of cheese. How many times can she make her recipe with the
riadik2000 [5.3K]
Divide (1/6 cup cheese) into (7/8 cup cheese):

7
--
8          7     6
----- = --- * --- = 42/8 = 5 2/8 = 5 1/4 = 5.25
1          8     1
--
6

She can prepare her recipe 5 times, with some material left over.
5 0
3 years ago
10 / 5 + 10 - 9 x 11<br>​
Ugo [173]

Order of Operations:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

Step-By-Step Explanation:

1. Take 9 • 11 = 99

2. Take 10 / 2 = 5

3. Take 2 + 10 - 99 = -87

So -87 would be your final answer. Hope that helped!

7 0
3 years ago
What is the best for the total weight of these cold meats 1 7/8 of bologna 1 1/2 pounds of ham and 7/8 of roast beef ?
In-s [12.5K]
We need to have common denominators, so I will multiply 1 1/2 by 4
15/8 + 12/8 + 7/8 = 34/8
4&1/4 pounds of meat
5 0
3 years ago
A 12.5 oz bag of Doritos costs $3.79. A 3 oz bag costs $1.00. What is the difference in unit rates?
Furkat [3]

Answer:

0

Step-by-step explanation:

12.5/3.79 = 3.2981530343

3.2981530343 rounded = 3.3

1/3 = 3.33333333333333

3.33333333333333 rounded = 3.3

3.3 - 3.3 = 0

3 0
3 years ago
Read 2 more answers
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