Consider that individuals will take an online test in which questions will be presented sequentially. Calculate the probabilities asked for in the contexts of each of the following. Consider rounding to the third decimal place in your calculations, probabilities in the range [0,1] and tolerance of 0.005. a. Suppose that 8 questions are removed with replacement (ie the same question can be removed more than once) from a bank of 70 questions of which the individual knows how to answer 49. What is the probability of him getting 2 or less questions right?  b. Idem to the previous item, but assuming now that the questions are withdrawn without replacement.  c. Assuming again the replace

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 10CR
icon
Related questions
Question

Consider that individuals will take an online test in which questions will be presented sequentially. Calculate the probabilities asked for in the contexts of each of the following.

Consider rounding to the third decimal place in your calculations, probabilities in the range [0,1] and tolerance of 0.005.

a. Suppose that 8 questions are removed with replacement (ie the same question can be removed more than once) from a bank of 70 questions of which the individual knows how to answer 49. What is the probability of him getting 2 or less questions right? 
b. Idem to the previous item, but assuming now that the questions are withdrawn without replacement. 
c. Assuming again the replacement of the questions, the candidate answers until he makes a mistake for the first time. What is the probability of getting at most 2 questions right before getting it wrong (that is, at most 3 attempts)? 

Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL