1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bingel [31]
3 years ago
8

The number of withdrawals a bank processes in a day follows a random variable X. The number of deposits in a day is represented

by Y. X and Y are independent and have the following moment generating functions \displaystyle {M}_{X}(t)=\frac{p}{1-q{e}^{t}} \displaystyle {M}_{Y}(t)={\left(\frac{p}{1-q{e}^{t}}\right)}^{r} q = 1 - p What is the expected number of transactions in a day?
Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

Check the explanation

Step-by-step explanation:

Number of transactions in a day is sum of number of withdrawals and number of deposits. So,

Number of transactions in a day, Z = X + Y

Moment Generating function of Z is,

T+1

Expected number of transactions in a day = E[Z]

= \frac{\mathrm{d} }{\mathrm{d} t}_{t=0}M_Z(t) = (r+1)\left ( \frac{p}{1-qe^t} \right )^{r} * \frac{-p}{(1-qe^t)^2} * (-qe^t)    for t = 0

= (r+1)\left ( \frac{p}{1-qe^0} \right )^{r} * \frac{-p}{(1-qe^0)^2} * (-qe^0)

= (r+1)\left ( \frac{p}{1-q} \right )^{r} * \frac{-p}{(1-q)^2} * (-q)

= (r+1)\left ( \frac{p}{p} \right )^{r} * \frac{-p}{(p)^2} * (-q)

= \frac{(r+1)q}{p}

You might be interested in
Find the measurements of all the numbered angles in the rhombus
maxonik [38]

Answer:

Step-by-step explanation:

6 0
3 years ago
Solve for X with an equation
vredina [299]
The sum of the interior angels is 180(n-2). In this case 180(5-2)= 540. So the equation is 540=100+103+4x+(3x+3)+(5x-2). Then solve for x. X=28
8 0
3 years ago
Read 2 more answers
Use the change of base formula to evaluate the logarithms to the nearest thousandth.
Blizzard [7]

Answer:

1.861

Step-by-step explanation:

I just know

6 0
3 years ago
Georgia bought pears for $6.14. The price of pears is $1.10 per pound. How many pound of pears did she buy? (Round your answer t
yuradex [85]

Answer:

5.58

Step-by-step explanation:

7 0
3 years ago
Identify the dependent and independent variables in each situation.
klemol [59]
A. independent (x) - expenses, dependent (y) - total cost
B. independent (x) - area, dependent (y) - price
C. independent (x) - time, dependent (y) - distance
D. independent (x) - size of carton, dependent (y) - number of items
    
6 0
3 years ago
Read 2 more answers
Other questions:
  • 50 hundred thousands equals how many tenths?
    12·1 answer
  • Explain why all of these expressions have the same value. 4500÷90 450÷9 45÷0.9 4.5÷0.09
    12·1 answer
  • ^^ question above! Thanks
    9·1 answer
  • Isabel works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames. How mu
    8·1 answer
  • Which of the following are solutions to the inequality below? Select all that apply.
    15·1 answer
  • Suppose A ={2, 5, 7, 9, 13, 25, 26}. True or False: <br><br> {1,2,3}⊆A
    7·1 answer
  • 3.265 rounded to the nearest tenth
    10·2 answers
  • Can you conclude that these triangles are congruent?<br><br> yes or no?
    14·1 answer
  • HEYY I REALLY NEED HELP WITH THIS QUESTION!!!!!<br><br> d^3 = 12 <br> D=?
    12·2 answers
  • An online book store sells e-books on their website. Each book is the same price. The cost to purchase 5 e-books is $8.00.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!