Question: When a is a positive integer n, the gamma distribution is also known as the Erlang distribution. Setting a = n in the gamma distribution

When a is a positive integer n, the gamma distribution is also known as the Erlang distribution. Setting a = n in the gamma distribution on page 195, the Erlang distribution is It can be shown that if the times between successive events are independent, each having an exponential distribution with parameter 3, then the total elapsed waiting time X until all n events occur has the Erlang distribution. Referring to Review Exercise 6.60, what is the probability that the next 3 calls will be received within the next 30minutes?

x > 0, elsewhere. f(x) 10,

Step by Step Solution

★★★★★

3.46 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

PX 12 108 xe6x dx ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

18-M-S-C-P-D (61).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

It can be shown that if |d2y / dx2| M on a closed interval with c and c + Ax as end points, then |y - dy| 1/2M(x)2 Find, using differentials, the change in y = 3x2 - 2x + 11 when x increases from 2...

It can be shown that for any data y 1 , y 2 , c , y n the smallest value for is obtained by setting M = y. Explain why this implies that the fitted values in ANOVA are the sample averages of the...

It can be shown that for any real number s. illustrate this equation graphically for s = 2 by graphing y1 = (1 + 2/n)n y2 = 7.389 056 099 e2 in the same viewing window, for 1 ¤ n ¤ 50....

When is a positive integer n, the gamma distribution is also known as the Erlang distribution. Setting = n in the gamma distribution on page 215, the Erlang distribution is It can be shown that if...

When is a positive integer n, the gamma distribution is also known as the Erlang distribution. Setting = n in the gamma distribution on page 195, the Erlang distribution is f(x) = xn1ex/ n(n1)! ,...

6.63 When is a positive integer n, the gamma distribution is also known as the Erlang distribution. Setting = n in the gamma distribution on page 215, the Erlang distribution is f(x) = xn 1 e x / ...

Introduction and learning objectives When you were learning about operational analysis earlier in the term, we talked about jobs that require multiple visits to the CPU (or servers) to receive their...

Write 2 paragraphs about Macro risks and the term structure of interest rates article. No max word count, page count, or formatting requirements but has to be submit to my tutor's work as my own....

The special case of the gamma distribution in which Î± is a positive integer n is called an Erlang distribution. If we replace Î² by 1/ Î» in Expression (4.8), the...

68. The special case of the gamma distribution in which is a positive integer n is called an Erlang distribution. If we replace by 1/ in Expression (4.8), the Erlang pdf is f(x; , n) ( ( n x ...

Explain what a CDI program entails What specific criteria would be required for staff for this program, and the expected benefits [supported by existing statistics from the literature] The process of...

A PVT cell with rigid walls is used to conduct the following measurements. P>Pb Pi>P1>Pb oil oil Np, Gp Fig.3 Simple expansion cell experiment illustration Write down the equation for the solution...

Suppose that mean body temperature for adults has a normal distribution with mean 5 98.2 degrees Fahrenheit and standard deviation s 5 0.8 degrees. a. What is the probability that a randomly...

Busy-Bee Baking Company produces a variety of breads. The plant manager would like to expand production into sweet rolls as well. The average price of a loaf of bread is $1. Anticipated price for a...

You're preparing the annual report for FretCo Guitar Corporation. For each of the following types of information, select an appropriate chart or visual to illustrate the text. Explain your choices....

A highly simplified alphabetical list of trial balance accounts and their normal balances for the month ended March 31, 2014, follows. Accounts Payable ...................... 8 Accounts Receivable...

Sara Pacheco is a sophomore in college and earns a little extra money by making beaded key ring accessories. She sells them on Saturday mornings at the local flea market. Sara charges $5 per unit and...

Kim Company bought 30% of the shares of Phelps, Inc., at the start of 2016. Kim paid $10 million for the shares. Thirty percent of the book value of Phelps's net assets is $8 million, and the...

(a) Draw the circuit diagram for a MOD-64 synchronous counter. (b) Determine f max for this counter if each FF has t pd = 20 ns and each gate has t pd = 10 ns.

According to an estimate, the average age at first marriage for women in the United States was 26.1 years in 2010 (Time, March 21, 2011). A recent sample of 60 women from New Jersey who got married...

The president of a university claims that the mean time spent partying by all students at this university is not more than 7 hours per week. A random sample of 40 students taken from this university...

The mean balance of all checking accounts at a bank on December 31, 2011, was $850. A random sample of 55 checking accounts taken recently from this bank gave a mean balance of $780 with a standard...

Please show breakdown for calculations. Dover Corporation bought a long-term asset for $125,000. The asset has a 25% CCA rate. At the end of year 5, the firm sold the asset for 25% of its original...

Please, I need help with the following question. Thank you for all those who you have helped! The Allied Group intends to expand the company's operation by making significant investments in several...

Machines A and B are mutually exclusive and are expected to produce the following real cash flows: The real opportunity cost of capital is 8%. a. Calculate the NPV of each machine. (Enter your...