Approximately 10% of all people are left-handed. Consider 12 randomly selected people. a) State the random variable. rv X = the number of 12 randomly selected people that are left-handed b) List the given numbers with correct symbols. nv = 12 pv = 0.1 c) Explain why this is a binomial experiment. Check all that apply. Whether or not one randomly selected person is left-handed will affect whether or not another randomly selected person is left-handed There are only two outcomes for each person There are a fixed number of people, 12 Whether or not one randomly selected person is left-handed will not affect whether or not another randomly selected person is left-handed Op = 10% remains constant from one randomly selected person to another There is not a fixed number of people There are more than two outcomes for each person

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Approximately 10% of all people are left-handed. Consider 12 randomly selected people.
a) State the random variable.
rv X = the number of 12 randomly selected people that are left-handed
b) List the given numbers with correct symbols.
DY = 12
P = 0.1
c) Explain why this is a binomial experiment. Check all that apply.
✔Whether or not one randomly selected person is left-handed will affect whether or not another
randomly selected person is left-handed
There are only two outcomes for each person
There are a fixed number of people, 12
Whether or not one randomly selected person is left-handed will not affect whether or not another
randomly selected person is left-handed
Op = 10% remains constant from one randomly selected person to another
There is not a fixed number of people
There are more than two outcomes for each person
Transcribed Image Text:Approximately 10% of all people are left-handed. Consider 12 randomly selected people. a) State the random variable. rv X = the number of 12 randomly selected people that are left-handed b) List the given numbers with correct symbols. DY = 12 P = 0.1 c) Explain why this is a binomial experiment. Check all that apply. ✔Whether or not one randomly selected person is left-handed will affect whether or not another randomly selected person is left-handed There are only two outcomes for each person There are a fixed number of people, 12 Whether or not one randomly selected person is left-handed will not affect whether or not another randomly selected person is left-handed Op = 10% remains constant from one randomly selected person to another There is not a fixed number of people There are more than two outcomes for each person
Find the probability, to 4 decimal places:
It is possible when rounded that a probability is 0.0000
d) exactly none are left-handed.
e) exactly 10 are left-handed.
f) at least 5 are left-handed.
g) at most 4 are left-handed.
h) at least 8 are left-handed.
i) Is 8 an unusually high number of people that are left-handed in a sample of 12 people?
Yes, because P(X <= 8) <= 0.05
Transcribed Image Text:Find the probability, to 4 decimal places: It is possible when rounded that a probability is 0.0000 d) exactly none are left-handed. e) exactly 10 are left-handed. f) at least 5 are left-handed. g) at most 4 are left-handed. h) at least 8 are left-handed. i) Is 8 an unusually high number of people that are left-handed in a sample of 12 people? Yes, because P(X <= 8) <= 0.05
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