Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. here is a simple probability model for multiple-ch

Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p...

80.2K

Verified Solution

Question

Basic Math

Here is a simple probability model for multiple-choice tests.Suppose that each student has probability p of correctlyanswering a question chosen at random from a universe of possiblequestions. (A strong student has a higher p than a weakstudent.) The correctness of answers to different questions areindependent. Jodi is a good student for whom p = 0.82.

(a) Use the Normal approximation to find the probability thatJodi scores 77% or lower on a 100-question test. (Round your answerto four decimal places.)


(b) If the test contains 250 questions, what is the probabilitythat Jodi will score 77% or lower? (Use the normal approximation.Round your answer to four decimal places.)


(c) How many questions must the test contain in order to reduce thestandard deviation of Jodi's proportion of correct answers to halfits value for a 100-item test?
questions

(d) Laura is a weaker student for whom p = 0.77. Does theanswer you gave in (c) for standard deviation of Jodi's score applyto Laura's standard deviation also?

Yes, the smaller p for Laura has no effect on therelationship between the number of questions and the standarddeviation.No, the smaller p for Laura alters therelationship between the number of questions and the standarddeviation

Answer & Explanation Solved by verified expert
4.4 Ratings (655 Votes)
a As we known that by central limit theorem binomialdistribution is tends to normal approximation as n is largeHere n 100 p 082 np10 So we use the    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

126 The following three Independent sets of facts relate to contingent llabilities 1 In November...

Basic Math
Q

How does narrative provide a better framework for ecological restoration than an approached focused on intrinsic...

Psychology
Q

In an experiment investigating the effects of lead on the nervous system of rats, theexperimental...

Biology
Q

A scientist is breeding flowers. They select a heterozygous individual with a dominant phenotype. A...

Biology
Q

EXAMPLE 16 Transferring the Satellite A 400 kg satellite is in a circular orbit of...

Physics
Q

Let the Universal Set, S, have 166 elements. A and B are subsets of S....

Basic Math
Q

7nt Several research papers use a sinusoidal graph to model blood pressure Suppose an individual...

Basic Math
Q

Michelle got a new job through the McCartney Employment Agency The job pays 49 400...

Calculus
Q

From 2010 to 2012, the average selling price of tablets decreased by 30% This percent...

Algebra
Q

Dunder Company traded machinery with a book value of $1,080,000 and a fair value of...

Accounting
Q

The following information is available for Concord Company: What amount would you find on Concord's...

Accounting
Q

Financial statements for Marcell Company appear below: Marcell Company Statement of...

Accounting