Show that if X P o ( 1 ) and Y P o ( 2
Question:
Show that if X ∼ Po(λ1) and Y ∼ Po(λ2), then X + Y ∼ Po(λ1 + λ2).
Transcribed Image Text:
Pr(X + Y ≤ z) = Pr(X ≤z-yY= y)Pr(Y = y) y=0 11 y=0 dĩ e-site-re -1₂ (z - y)! y!
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (6 reviews)
To show that if X Po and Y Po2 then X Y Po1 2 we can use the probability gen...View the full answer
Answered By
Shivani Dubey
Hello guys, I am very good with the Advance mathematics, Calculus, Number theory, Algebra, Linear algebra, statistics and almost all topics of mathematics. I used to give individual tutoring students in offline mode but now want to help students worldwide so I am joining here. I can also give solutions in various coding languages of mathematics and software like mathematica, R, Latex, Matlab, Statistica, etc.
feel free to ask any doubt regarding mathematics
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
Show that if X is a continuous random variable, then where m is the median of X (see Exercise 2.17), EX ml, min E X - al E
-
Consider two agents, A and B, who live for two periods. Their income is Y A 1 and Y B 1 in period 1 and Y A 2 and Y B 2 in period 2. In period 1 each agent decides how much to consume C A 1 and C B...
-
Show that if x > 0 and if n > 2x, then Use this formula to show that 2 2/3 2x+1 (n+ 1)! n!
-
In which section do you create VLAN on Cisco WLC ? ? Layer 3 3 Section Layer 2 2 Section Security Section RF Section
-
Assume that in January 2010, an International Eatery restaurant purchased a building, paying $52,000 cash and signing a $106,000 note payable. The restaurant paid another $62,000 to remodel the...
-
Explain how receivables can be converted to cash before maturity.
-
Explicar formas alternas de clasificar los establecimientos detallistas . OA3
-
IPO Pricing the Eyetech IPO was underpriced by about 54 percent. Should Eyetech be upset at Merrill Lynch over the under-pricing?
-
Alyeski Tours operates day tours of coastal glaciers in Alaska on its tour boat the Blue Glacier. Management has identified two cost drivers-the number of cruises and the number of passengers-that it...
-
The skew of a random variable X is defined as Given data x 1 , x 2 ,...,x n an estimator for skew is where x and s are empirical mean and standard deviation. Being a symmetric distribution the normal...
-
Analyze the dual trade to the third butterfly trade in Table 5.8. Thus go long a put at 80, short 2 puts at 75, and long a put at 70. Let the starting price be S 0 = 70 and assume the drift is 2 %....
-
Launch of the Space Shuttle at launch the space shuttle weighs 4.5 million pounds. When it is launched from rest, it takes 8.00 s to reach 161 km/h, and at the end of the first 1.00 min its speed is...
-
4. Consider the RC circuit shown below: R C C2 The capacitors are connected in parallel. Use C = 120 F, C = 30F, R = 5002, and = 40V. The capacitors are initially uncharged and at t=0 the switch is...
-
The DuPont equation shows the relationships among asset management, debt management, and profitability of improving the firm's performance. Its equation is: ratios. Management can use the DuPont...
-
38. A pendulum bob of mass 0.200 kg is pulled to one side such that it has a height of 0.50 m relative to its rest position (that is, its lowest point). It is then released so that it swings back and...
-
Let A in K ^ ( n \ times n ) be an ( n \ times n ) - matrix. Show that there ist a basis B of K ^ n that consists of eigenvectors of A .
-
Using the "you" view is an effective way for writers to avoid taking on blame in business messages. O True False
-
James Canter of Auburn, Alabama, is a good shopper. He always comparison shops and uses coupons every week. James figures he saves at least $40 a month as a result. Assuming an interest rate of 2...
-
Tiger, Inc. signed a lease for equipment on July 1, 2007.The lease is for 10 years (the useful life of the asset).The first of 10 equal annual payments of $500,000 was made on July 1, 2007.The...
-
A hare and a tortoise compete in a race over a course 1.00 km long. The tortoise crawls straight and steadily at its maximum speed of 0.200 m/s toward the finish line. The hare runs at its maximum...
-
The data in the following table represent measurements of the masses and dimensions of solid cylinders of aluminum, copper, brass, tin, and iron. Use these data to calculate the densities of these...
-
A 50.0-g superb all traveling at 25.0 m/s bounces off a brick wall and rebounds at 22.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.50 ms, what is the...
-
Justice Corporation Comparative Balance Sheet December 31, 2025 and 2024 2025 2024 Assets Current Assets: $ Cash and Cash Equivalents 2,254 $ 1,876 Justice Corporation reported the following...
-
The Fields Company has two manufacturing departments forming and painting. The company uses the FIFO method of process costing at the beginning of the month the forming department has 33.000 units in...
-
A comparative balance sheet for Lomax Company containing data for the last two years is as follows: Lomax Company Comparative Balance Sheet This Year Last Year $ 96,000 $ 70,000 640,000 672,500...
Study smarter with the SolutionInn App