1 2 3 4 5 P(x) 0.222 0.390 0.274 0.096 0.017 0.001 (a) Find the probability that one or more of the five adults lives with a disability. (Round your answer to three decimal places.) How does this number relate to the probability that none of the adults lives with a disability? This is the complement of the probability of no adults living with a disability. This is five times the probability of no adults living with a disability. This is twice the probability of no adults living with a disability. These probabilities are the same. These probabilities are not related to each other. (b) Find the probability that two or more of the five adults lives with a disability. (Round your answer to three decimal places.) (c) Find the probability that three or more of the five adults lives with a disability (Round your answer to three decimal places.) (d) Compute μ, the expected number of adults living with a disability out of five. (Round your answer to two decimal places.) adults μπ (e) Compute σ, the standard deviation of the number of adults living with a disability out of five. (Round your answer to two decimal places.) σ = adults
1 2 3 4 5 P(x) 0.222 0.390 0.274 0.096 0.017 0.001 (a) Find the probability that one or more of the five adults lives with a disability. (Round your answer to three decimal places.) How does this number relate to the probability that none of the adults lives with a disability? This is the complement of the probability of no adults living with a disability. This is five times the probability of no adults living with a disability. This is twice the probability of no adults living with a disability. These probabilities are the same. These probabilities are not related to each other. (b) Find the probability that two or more of the five adults lives with a disability. (Round your answer to three decimal places.) (c) Find the probability that three or more of the five adults lives with a disability (Round your answer to three decimal places.) (d) Compute μ, the expected number of adults living with a disability out of five. (Round your answer to two decimal places.) adults μπ (e) Compute σ, the standard deviation of the number of adults living with a disability out of five. (Round your answer to two decimal places.) σ = adults
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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Question
According to a certain organization, approximately 26% of adults in the United States live with a disability. This includes disabilities affecting mobility, cognition, vision, hearing, and others. Suppose that we select a random sample of five US adults, and let x = the number of adults out of five that live with a disability. The methods of Section 5.2 can be used to compute the probability assignments for the x distribution.
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5
P(x) 0.222
0.390 0.274 0.096 0.017
0.001
(a) Find the probability that one or more of the five adults lives with a disability. (Round your answer to three decimal places.)
How does this number relate to the probability that none of the adults lives with a disability?
This is the complement of the probability of no adults living with a disability.
This is five times the probability of no adults living with a disability.
This is twice the probability of no adults living with a disability.
These probabilities are the same.
These probabilities are not related to each other.
(b) Find the probability that two or more of the five adults lives with a disability. (Round your answer to three decimal places.)
(c) Find the probability that three or more of the five adults lives with a disability (Round your answer to three decimal places.)
(d) Compute μ, the expected number of adults living with a disability out of five. (Round your answer to two decimal places.)
adults
μπ
(e) Compute σ, the standard deviation of the number of adults living with a disability out of five. (Round your answer to two decimal places.)
σ =
adults
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