Question

approximately 11% of all people are left - handed. consider 17 randomly selected people.
a) state the random variable.
select an answer
rv x = a randomly selected person
rv x = the probability that a randomly selected person is left - handed
rv x = a randomly selected person that is left - handed
rv x = all people that are left - handed
rv x = is left - handed
rv x = the number of 17 randomly selected people that are left - handed
rv x= the number of randomly selected people that are left - handed
p = 11% remains constant from one randomly selected person to another
there is not a fixed number of people
there are only two outcomes for each person
there are more than two outcomes for each person
there are a fixed number of people, 17
whether or not one randomly selected person is left - handed will affect whether or not another randomly selected person is left - handed
whether or not one randomly selected person is left - handed will not affect whether or not another randomly selected person is left - handed

Explanation:

A random variable represents a numerical outcome of a random phenomenon. In the context of 17 randomly selected people and the proportion of left - handed people, the variable of interest is the number of those 17 people who are left - handed. Each person is either left - handed or not (two outcomes), the probability of being left - handed (11%) is constant for each person, and the selection of one person does not affect the selection of another. The fixed number of trials is 17 (the number of people selected).

Answer:

a) rv X = the number of 17 randomly selected people that are left - handed
b) p = 11% remains constant from one randomly selected person to another
There are only two outcomes for each person
There are a fixed number of people, 17
Whether or not one randomly selected person is left - handed will not affect whether or not another randomly selected person is left - handed