Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. given a random variable xx following normal distri

Given a random variable XX following normal distribution with mean of -3 and standard deviation of...

90.2K

Verified Solution

Question

Statistics

Given a random variable XX following normal distribution withmean of -3 and standard deviation of 4. Then random variableY=0.4X+5Y=0.4X+5 is also normal.

(1)(2pts) Find the distribution of YY, i.e. μY,σY.μY,σY.

(2)(3pts) Find the probabilitiesP(−4

(3)(3pts) Find the probabilitiesP(−4

(4)(4pts) Find the 53th percentile of the distribution of X.

Answer & Explanation Solved by verified expert
3.6 Ratings (651 Votes)
Given a random variable X following normal distribution with    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

In your own words, outline and provide examples of how a company could pursue shareholder wealth...

Finance
Q

NYU is testing out two different versions of filtering software in order to reduce spam emails....

Statistics
Q

Find the following 5C1 7P0 10C2 8P3

Statistics
Q

Show that the curve C(t) = t2 + t + lies...

Basic Math
Q

design a divide & conquer alogrithm that requires 2 recursive calls for array size greater than...

Programming
Q

What are pros and cons about drug treatment programs inside correctional facilities? What are pros and...

Psychology
Q

The attachment of a lytic virus involves a specific bonding to on the surface of...

Biology
Q

1 2 3 4 rect Answer 3 Answer 4 us incorrect Thermo couple Radiator Resistor...

Physics
Q

If Tanisha has 100 to invest at 8 per annum compounded semiannually how long will...

Algebra
Q

ABC reported sales of $300,000, write-offs of uncollectible accounts of $10,000 against the allowance for...

Accounting
Q

vork Required Questi Units sold * Hollywood Cosmetics manufactures and sells a face cream to...

Accounting
Q

Use future value and present value calculations to determine the following: (Exhibit 1-A, Exhibit 1-8,...

Finance