12. If a random variable X has a discrete distribution for which the p.f. is f(x), then the value of x for which f(x) is maximum is called the mode of the distribution. If this same maximum f(x) is attained at more than one value of x, then all such values of x are called modes of the distribution. Find the mode or modes of the binomial distribution with parameters n and p. Hint: Study the ratio f(x+1|n, p)/f(x\n, p).
12. If a random variable X has a discrete distribution for which the p.f. is f(x), then the value of x for which f(x) is maximum is called the mode of the distribution. If this same maximum f(x) is attained at more than one value of x, then all such values of x are called modes of the distribution. Find the mode or modes of the binomial distribution with parameters n and p. Hint: Study the ratio f(x+1|n, p)/f(x\n, p).
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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![12. If a random variable X has a discrete distribution
for which the p.f. is f(x), then the value of x for which
f(x) is maximum is called the mode of the distribution.
If this same maximum f(x) is attained at more than one
value of x, then all such values of x are called modes of
the distribution. Find the mode or modes of the binomial
distribution with parameters n and p. Hint: Study the ratio
f(x+1|n, p)/f(x\n, p).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fb406b3-dfb5-4d65-a424-9ec71ae4c6de%2Fc81bfb9a-0dee-4d15-a3c0-0d2bbe75ccb6%2Fiwskfan_processed.png&w=3840&q=75)
Transcribed Image Text:12. If a random variable X has a discrete distribution
for which the p.f. is f(x), then the value of x for which
f(x) is maximum is called the mode of the distribution.
If this same maximum f(x) is attained at more than one
value of x, then all such values of x are called modes of
the distribution. Find the mode or modes of the binomial
distribution with parameters n and p. Hint: Study the ratio
f(x+1|n, p)/f(x\n, p).
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