The steps in this exercise lead to the probability density function of an Erlang random variable X

Question:

The steps in this exercise lead to the probability density function of an Erlang random variable X with parameters and

(a) Use the Poisson distribution to express .

(b) Use the result from part

(a) to determine the cumulative distribution function of X.

(c) Differentiate the cumulative distribution function in part

(b) and simplify to obtain the probability density function of X.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Statistics And Probability For Engineers

ISBN: 9780471204541

3rd Edition

Authors: Douglas C. Montgomery, George C. Runger

See More Books

Question Posted: Nov 07, 2024 07:01 AM

See More Questions

The steps in this exercise lead to the probabil- ity density function of an Erlang random variable X' with parameters and r, f(x) = x'x '^(-1),x>0. and = 1,2..... (a) Use the Poisson distribution to...
A 32- resistor and a 20- resistor are connected in parallel, and the combination is connected across a 240-V dc line. (a) What is the resistance of the parallel combination? (b) What is the total...
Explain how the impersonal forces of demand and supply in the market determine prices under most competitive conditions.
Using Kirchhoff's rules, (a) Find the current in each resistor shown in figure and (b) Find the potential difference between points c andf. 4.00 k. R3 80.0 V 60.0 V 70.0 V R2 3.00 kn 2.00 kn R1
The steps in this exercise lead to the probability density function of an Erlang random variable X with parameters and (a) Use the Poisson distribution to express . (b) Use the result from part (a)...
Brandon Inc. reported the following items in its balance sheet and income statement: net income, $85,600; gain on sale of equipment, $12,800; increase in accounts receivable, $15,400; decrease in...
The first part of the business analysis is to A ) create an advertising campaign B ) forecast sales C ) estimated profits D ) develop a sales force E ) begin building the products
An airline makes 200 reservations for a flight that holds 185 passengers. The probability that a passenger arrives for the flight is 0.9 and the passengers are assumed to be independent. (a)...
A bearing assembly contains 10 bearings. The bearing diameters are assumed to be independent and normally distributed with a mean of 1.5 millimeters and a standard deviation of 0.025 millimeter. What...
Prove the result that the restricted least squares estimator never has a larger covariance matrix than the unrestricted least squares estimator.
Give efficient algorithms for the operations of dividing a -bit integer by a shorter integer and of taking the remainder of a -bit integer when divided by a shorter integer. Your algorithms should...
Give an O(n lg n)-time algorithm to determine whether an n-vertex polygon is simple.
Draw the group operation tables for the groups ( 4, + 4 ) and ( * 5 , 5 ). Show that these groups are isomorphic by exhibiting a one-to-one correspondence between their elements such that a + b c...
Which of the following statements is most correct? a. Tax preference items for the alternative minimum tax are always added back to regular taxable income. b. Itemized deductions that are added back...
Kansas Company uses a standard cost accounting system. In 2022, the company produced 28,000 units. Each unit took several pounds of direct materials and 1.6 standard hours of direct labor at a...
A plano-convex lens has index of refraction n. The curved side of the lens has radius of curvature R and rests on a flat glass surface of the same index of refraction, with a film of index nfilm...
Use the method of Example 4.29 to compute the indicated power of the matrix. 1 0 1

The steps in this exercise lead to the probability density function of an Erlang random variable X

Question:

Step by Step Answer:

Applied Statistics And Probability For Engineers

Students also viewed these Business questions