Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. the downtime per day for a computing facility has

The downtime per day for a computing facility has mean 4 hours and standard deviation 0.9...

80.2K

Verified Solution

Question

Advance Math

The downtime per day for a computing facility has mean 4 hoursand standard deviation 0.9 hour. (a) Suppose that we want tocompute probabilities about the average daily downtime for a periodof 30 days. (i) What assumptions must be true to use the result ofthe central limit theorem to obtain a valid approximation forprobabilities about the average daily downtime? (Select all thatapply.) The daily downtimes must have an approximately normaldistribution. The number of daily downtimes must be greater than30. The daily downtimes must have an expected value greater thantheir variance. The daily downtimes must have the same expectedvalue and variance. The daily downtimes must be independent andidentically distributed random variables. (ii) Under theassumptions described in part (i), what is the approximateprobability that the average daily downtime for a period of 30 daysis between 1 and 5 hours? (Round your answer to four decimalplaces.) (b) Under the assumptions described in part (a), what isthe approximate probability that the total downtime for a period of30 days is less than 119 hours? (Round your answer to four decimalplaces.)

Answer & Explanation Solved by verified expert
3.8 Ratings (542 Votes)
Answer    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

The polling organization Ipsos conducted telephone surveys in March of 2004, 2005 and 2006. In each...

Statistics
Q

Discuss hormonal regulation of spermatogenesis and oogenesis. Make sure to include how FSH (2 pts), LH...

Medical Sciences
Q

C3 deficiencies are typically lethal but C8 deficiencies are survivable. How are individuals with a C8...

Biology
Q

Introduction In this lab, we will look at various aspects of methods in Java programming such as...

Programming
Q

7. A nutritionist wants to determine whether people who regularly drink one protein shake per day...

Statistics
Q

2 Explain the steps of PCR 3 What is 4 5 6 1 7 8...

Biology
Q

ger brother has challenged you to a swimming race to see who can swim to...

Geometry
Q

15 lim 848 E n 1 3 n 1 1 2 3 n 2 1...

Calculus
Q

Let g(v)=-v^(12/5) + (2)v^(7/3)-(7)v^(9/8)Determine the derivative of g. g'(v)=[?]Determine the slope of g at v...

Calculus
Q

Bramble Company had a beginning imventory of 118 units of Product RST at a cost...

Accounting
Q

11 Researching GAA Directions Situation Panther Company currently sponsors defined benefit pension plan for its...

Accounting
Q

During Heaton Company's first two years of operations, it reported absorption costing net operating income...

Accounting