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

80.2K

Verified Solution

Question

Statistics

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

(1)Find the distribution of Y, i.e. μy,σy

(2)Find the probabilities P(−4

(3)Find the probabilities P(−4

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

Answer & Explanation Solved by verified expert
3.7 Ratings (713 Votes)
Que 1We know that if X N 2 ie 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: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students