(a) Determine if this probability experiment qualifies as binomial. Explain. (b) How many problems would you expect to get correct? = (c) What is the standard deviation? %3D

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...
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A test consists of 15 multiple choice questions. There is a 25% chance of getting a question
correct. As an experiment you guess on each and every question without reading any of the
problems.
(a) Determine if this probability experiment qualifies as binomial. Explain.
(b) How many problems would you expect to get correct? =
(c) What is the standard deviation? =
(d) What is the probability of getting exactly 3 problems correct on the test? =
(e) What is the probability of getting 7 or more problems correct? =
(f) What is the probability of getting less than 7 problems correct? =
(g) What is the probability of getting between 9 and 13 problems correct, inclusive? =
(h) Can we approximate this binomial distribution with a normal distribution? Explain.
MacBook PrO
Transcribed Image Text:A test consists of 15 multiple choice questions. There is a 25% chance of getting a question correct. As an experiment you guess on each and every question without reading any of the problems. (a) Determine if this probability experiment qualifies as binomial. Explain. (b) How many problems would you expect to get correct? = (c) What is the standard deviation? = (d) What is the probability of getting exactly 3 problems correct on the test? = (e) What is the probability of getting 7 or more problems correct? = (f) What is the probability of getting less than 7 problems correct? = (g) What is the probability of getting between 9 and 13 problems correct, inclusive? = (h) Can we approximate this binomial distribution with a normal distribution? Explain. MacBook PrO
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