Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a funct
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Answer:
(a) The probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.
(b) The probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.
(c) The probability that in a a sample of four British citizens none believe inequality is too large is 0.0046.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of British citizens who believe that inequality is too large.
The proportion of respondents who believe that inequality is too large is, <em>p</em> = 0.74.
Thus, the random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em> = 0.74.
The probability mass function of <em>X </em>is:
(a)
Compute the probability that in a a sample of six British citizens two believe inequality is too large as follows:
Thus, the probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.
(b)
Compute the probability that in a a sample of six British citizens at least two believe inequality is too large as follows:
P (X ≥ 2) = 1 - P (X < 2)
= 1 - P (X = 0) - P (X = 1)
Thus, the probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.
(c)
Compute the probability that in a a sample of four British citizens none believe inequality is too large as follows:
Thus, the probability that in a a sample of four British citizens none believe inequality is too large is 0.0046.