According to an almanac, 80% of adult smokers started smoking before turning 18 years old. (a) Compute the mean and standard deviation of the random variable X, the number of smokers who started before 18 in 300 trials of the probability experiment. (b) Interpret the mean. (c) Would it be unusual to observe 255 smokers who started smoking before turning 18 years old in a random sample of 300 adult smokers? Why? Question content area bottom Part 1 (a) μx=enter your response here Part 2 σx=enter your response here (Round to the nearest tenth as needed.) Part 3 (b) What is the correct interpretation of the mean? A. It is expected that in a random sample of 300 adult smokers, 240 will have started smoking before turning 18. B. It is expected that in a random sample of 300 adult smokers, 240 will have started smoking after turning 18. C. It is expected that in 50% of random samples of 300 adult smokers, 240 will have started smoking before turning 18. Part 4 (c) Would it be unusual to observe 255 smokers who started smoking before turning 18 years old in a random sample of 300 adult smokers? A. Yes, because 255 is between μ−2σ and μ+2σ. B. No, because 255 is greater than μ+2σ. C. Yes, because 255 is greater than μ+
According to an almanac, 80% of adult smokers started smoking before turning 18 years old. (a) Compute the mean and standard deviation of the random variable X, the number of smokers who started before 18 in 300 trials of the probability experiment. (b) Interpret the mean. (c) Would it be unusual to observe 255 smokers who started smoking before turning 18 years old in a random sample of 300 adult smokers? Why? Question content area bottom Part 1 (a) μx=enter your response here Part 2 σx=enter your response here (Round to the nearest tenth as needed.) Part 3 (b) What is the correct interpretation of the mean? A. It is expected that in a random sample of 300 adult smokers, 240 will have started smoking before turning 18. B. It is expected that in a random sample of 300 adult smokers, 240 will have started smoking after turning 18. C. It is expected that in 50% of random samples of 300 adult smokers, 240 will have started smoking before turning 18. Part 4 (c) Would it be unusual to observe 255 smokers who started smoking before turning 18 years old in a random sample of 300 adult smokers? A. Yes, because 255 is between μ−2σ and μ+2σ. B. No, because 255 is greater than μ+2σ. C. Yes, because 255 is greater than μ+
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
Related questions
Question
According to an almanac,
80%
of adult smokers started smoking before turning 18 years old.(a) Compute the mean and standard deviation of the random variable X, the number of smokers who started before 18 in
300
trials of the probability experiment.(b) Interpret the mean.
(c) Would it be unusual to observe
255
smokers who started smoking before turning 18 years old in a random sample of
300
adult smokers? Why?Question content area bottom
Part 1
(a)
μx=enter your response here
Part 2
σx=enter your response here
(Round to the nearest tenth as needed.)Part 3
(b) What is the correct interpretation of the mean?
It is expected that in a random sample of
300
adult smokers,
240
will have started smoking before turning 18.It is expected that in a random sample of
300
adult smokers,
240
will have started smoking after turning 18.C.
It is expected that in 50% of random samples of
300
adult smokers,
240
will have started smoking before turning 18.Part 4
(c) Would it be unusual to observe
255
smokers who started smoking before turning 18 years old in a random sample of
300
adult smokers?Yes, because
255
is between
μ−2σ
and
μ+2σ.
No,
because
255
is greater than μ+2σ.Yes,
because
255
is greater than μ+2σ.No,
because
255
is between μ−2σ and μ+2σ.No, because
255
is less than
μ−2σ.
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