In a game, you have found a reward with 15 treasure boxes. From experience you know that 1 in 5 treasure boxes contain rare items. a. You want to know the probability of having 4 rare items in your 15 treasure boxes. Can the normal approximation to the binomial distribution be used? Justify your answer and describe why it is important to check that the normal approximation can be used. I b. If you instead had 50 treasure boxes, could the normal approximation to the binomial distribution be used?
In a game, you have found a reward with 15 treasure boxes. From experience you know that 1 in 5 treasure boxes contain rare items. a. You want to know the probability of having 4 rare items in your 15 treasure boxes. Can the normal approximation to the binomial distribution be used? Justify your answer and describe why it is important to check that the normal approximation can be used. I b. If you instead had 50 treasure boxes, could the normal approximation to the binomial distribution be used?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
Related questions
Question
Transcribed Image Text:In a game, you have found a reward with 15 treasure boxes. From experience you
know that 1 in 5 treasure boxes contain rare items.
a. You want to know the probability of having 4 rare items in your 15 treasure boxes.
Can the normal approximation to the binomial distribution be used? Justify your
answer and describe why it is important to check that the normal approximation can
be used. (
b. If you instead had 50 treasure boxes, could the normal approximation to the
binomial distribution be used?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill