Let Z N(0, 1). If we define X = e Z+ , then we say that
Question:
Let Z ∼ N(0, 1). If we define X = eσZ+μ, then we say that X has a log-normal distribution with parameters μ and σ, and we write X ∼ LogNormal(μ, σ).
a. If X ∼ LogNormal(μ,σ), find the CDF of X in terms of the Φ function.
b. Find EX and Var(X).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
a To find the cumulative distribution function CDF of X when X follows a lognormal distribution Log ...View the full answer
Answered By
Nazrin Ziad
I am a post graduate in Zoology with specialization in Entomology.I also have a Bachelor degree in Education.I posess more than 10 years of teaching as well as tutoring experience.I have done a project on histopathological analysis on alcohol treated liver of Albino Mice.
I can deal with every field under Biology from basic to advanced level.I can also guide you for your project works related to biological subjects other than tutoring.You can also seek my help for cracking competitive exams with biology as one of the subjects.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
Question Posted:
Students also viewed these Business questions
-
The following balances were extracted from the accounting records of Brakes Ltd for the financial year ended 28 February 2022: Revenue...
-
The distribution of X, the life of a transistor, in hours, is approximated by a triangular distribution as follows: (a) What is the value of a? (b) Find the expected value of the life of transistors....
-
Let X1 and X2 have independent gamma distributions with parameters α, θ and β, θ, respectively. Let W = X1/(X1 + X2). Use a method similar to that...
-
The 2017 financial statements for the Thor and Gunnar companies are summarized below. These two companies are in the same business and in the same province but in different cities. One-half of Thor?s...
-
Find some examples of retailers that demonstrate the concept of the wheel of retailing. Explain the stages they went through and are in currently.
-
Name the three cultural dimensions that are relevant to user interface design identified by Hall. Why are they relevant?
-
Analyze the differences among nuclear, composite, and extended families and the societies in which they're found.
-
On December 31 of last year, Target System Companys balance sheet had Accounts Receivable of $298,000 and a credit balance in Allowance for Uncollectible Accounts of $20,300. During the current year,...
-
The code of a program as follows. #include #include int main() { int i; for (i=0; i <4; i++) { fork(); } return 0; } Including itself, how many processes are created by the program shown above?
-
Let X 1 , X 2 , , Xn be independent random variables with Xi Exponential(). Define Y = X 1 +X 2 ++X n . As we will see later, Y has a Gamma distribution with parameters n and , i.e., Y Gamma(n,)....
-
A continuous random variable is said to have a Pareto(x m ,) distribution [ 15 ] if its PDF is given by where x m , > 0. Let X Pareto(x m ,). a. Find the CDF of X, FX(x). b. Find P(X > 3x m |X > 2x...
-
S-F Manufacturing Company performs a variety of activities for custom products. This week the following transactions took place. 1. Received 600 units of material at $12 per unit. 2. Issued 120 units...
-
Calculate the Black-Scholes Values for a call option and a put option. Share price (S): $100 Exercise price (X): $95 Continuous Risk-free Interest rate (r): 8% Dividend yield (q): 3% Time to Maturity...
-
Arctic Delight's managers have been particularly concerned with the business's liquidity position in recent months. The most up-to-date Statement of Profit or Loss and Statement of Financial Position...
-
Find the effective (equivalent) annual rate (EFF%EAR) for semi-annually, quarterly, monthly, and daily compounded rates. Assume Inom=6% EARannual, EARsemiannually, EARquarterlly, EARmonthly, EARdailly
-
How property is titled determines how it is transferred upon death. Discuss the differences between property held as Tenants in Common vs Joint Tenancy with Rights of Survivor.
-
3. Our School has always priced MS FE tuition and MS tuition in the physical engineering disciplines at the same levels. Suppose that we chose to try to increase revenue by setting different tuition...
-
What is the valence electron configuration of Group 6A elements? What are some property differences between oxygen and polonium?
-
Discuss whether responsible human resources management should apply different standards for the home company and suppliers, for developed countries and developing countries, and for large companies...
-
Perform an ethical analysis of Facebook. What is the ethical dilemma presented by this case?
-
What is the relationship of privacy to Facebooks business model?
-
Describe the weaknesses of Facebooks privacy policies and features. What people , organization, and technology factors have contributed to those weaknesses?
-
BUDGETED COSTS FOR 2022 Time Charges Material Charges Painters' wages and benefits $44,640 Service manager's salary and benefits $28,520 Office employee's salary and benefits Cost of paint 14,880...
-
1. Calculate Tax Liability. What would be the tax liability for a single taxpayer who has a gross income of $50,050? (Hint: Use Table 4-3, and don't forget to subtract the value of a standard...
-
Galactic Incorporated manufactures flying drone toys. Sales units for January, February, March, April, and May were 680, 660, 732, 692, and 760 respectively. Required: 1. The company's policy for...
Study smarter with the SolutionInn App