According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) What is the probability that among 18 randomly observed individuals, exactly 5 do not cover their mouth when sneezing? Using the binomial distribution, the probability is (Round to four decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly
selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a
mall and observe people's habits as they sneeze. Complete parts (a) through (c).
(a) What is the probability that among 18 randomly observed individuals, exactly 5 do not cover their mouth
when sneezing?
Using the binomial distribution, the probability is
(Round to four decimal places as needed.)
Transcribed Image Text:According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) What is the probability that among 18 randomly observed individuals, exactly 5 do not cover their mouth when sneezing? Using the binomial distribution, the probability is (Round to four decimal places as needed.)
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Follow-up Question
According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly
selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a
mall and observe people's habits as they sneeze. Complete parts (a) through (c).
(a) What is the probability that among 18 randomly observed individuals, exactly 5 do not cover their mouth
when sneezing?
Using the binomial distribution, the probability is 0.2050.
(Round to four decimal places as needed.)
(b) What is the probability that among 18 randomly observed individuals, fewer than 6 do not cover their
mouth when sneezing?
Using the binomial distribution, the probability is 0.6571.
(Round to four decimal places as needed.)
(c) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth
when sneezing? Why?
be surprising, because using the binomial distribution, the probability is which is
it
0.05.
(Round to four decimal places as needed.)
Transcribed Image Text:According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) What is the probability that among 18 randomly observed individuals, exactly 5 do not cover their mouth when sneezing? Using the binomial distribution, the probability is 0.2050. (Round to four decimal places as needed.) (b) What is the probability that among 18 randomly observed individuals, fewer than 6 do not cover their mouth when sneezing? Using the binomial distribution, the probability is 0.6571. (Round to four decimal places as needed.) (c) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? Why? be surprising, because using the binomial distribution, the probability is which is it 0.05. (Round to four decimal places as needed.)
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Follow-up Question
According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly
selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a
mall and observe people's habits as they sneeze. Complete parts (a) through (c).
(a) What is the probability that among 18 randomly observed individuals, exactly 5 do not cover their mouth
when sneezing?
Using the binomial distribution, the probability is 0.2050.
(Round to four decimal places as needed.)
(b) What is the probability that among 18 randomly observed individuals, fewer than 6 do not cover their
mouth when sneezing?
Using the binomial distribution, the probability is
(Round to four decimal places as needed.)
Transcribed Image Text:According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) What is the probability that among 18 randomly observed individuals, exactly 5 do not cover their mouth when sneezing? Using the binomial distribution, the probability is 0.2050. (Round to four decimal places as needed.) (b) What is the probability that among 18 randomly observed individuals, fewer than 6 do not cover their mouth when sneezing? Using the binomial distribution, the probability is (Round to four decimal places as needed.)
Solution
Bartleby Expert
SEE SOLUTION
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