The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below. x P(x) 0 0.187 1 0.403 2 0.271 3 0.114 4 0.021 5 0.004 a. Find the probability of getting exactly 4 sleepwalkers among 5 adults. _______ (Type an integer or a decimal. Do not round.) b. Find the probability of getting 4 or more sleepwalkers among 5 adults. _________ (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults: the result from part (a) or part (b)? A. Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability. B. Since the probability of getting 5 sleepwalkers is less likely than getting 4 sleepwalkers, the result from part (a) is the relevant probability.
The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below. x P(x) 0 0.187 1 0.403 2 0.271 3 0.114 4 0.021 5 0.004 a. Find the probability of getting exactly 4 sleepwalkers among 5 adults. _______ (Type an integer or a decimal. Do not round.) b. Find the probability of getting 4 or more sleepwalkers among 5 adults. _________ (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults: the result from part (a) or part (b)? A. Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability. B. Since the probability of getting 5 sleepwalkers is less likely than getting 4 sleepwalkers, the result from part (a) is the relevant probability.
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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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below.
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x
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P(x)
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0
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0.187
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1
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0.403
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2
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0.271
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3
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0.114
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4
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0.021
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5
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0.004
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a. Find the probability of getting exactly 4 sleepwalkers among 5 adults.
_______
(Type an integer or a decimal. Do not round.)b. Find the probability of getting 4 or more sleepwalkers among 5 adults.
_________
(Type an integer or a decimal. Do not round.)c. Which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults: the result from part (a) or part (b)?
Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability.
Since the probability of getting 5 sleepwalkers is less likely than getting 4 sleepwalkers, the result from part (a) is the relevant probability.
Since the probability of getting 4 sleepwalkers is the result from part (a), this is the relevant probability.
Since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part (b), this is the relevant probability.
d. Is 4 a significantly high number of 4 sleepwalkers among 5 adults? Why or why not? Use 0.05 as the threshold for a significant event.
No, since the appropriate probability is greater than 0.05, it is not a significantly high number.
Yes, since the appropriate probability is less than 0.05, it is a significantly high number.
No, since the appropriate probability is less than 0.05, it is not a significantly high number.
Yes, since the appropriate probability is greater than 0.05, it is a significantly high number.
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