Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y.
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Answer:
The selections are dependent.
Yes, they can be treated as independent (less than 5% of the population).
Step-by-step explanation:
Since the selections are made without replacement, each selection affects the outcome of the next selection and, therefore, the selections are dependent.
Although they are dependent, the selections can be treated as independent if the sample size is no more than 5% of the total population. In this case, the sample size is 1235 adults out of a population of 15,958,866 adults. The percentage represented by the sample is:
Thus the selections can be treated as independent for the purposes of calculations.
Part A:
Given that <span>A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 50 states.
The number of ways of selecting the route of 4 specific capitals is given by
Therefore, the probability that she selects the route of four specific capitals is
Part B:
</span>
<span>The number of ways of selecting the route of 4 specific capitals is 5,527,200.
Since </span><span>the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of the different possible routes in order to select the one that is best.
Therefore, "</span><span>No, it is not practical to list all of the different possible routes because the number of possible permutations is very large."</span>
Given that <span>A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 50 states.
The number of ways of selecting the route of 4 specific capitals is given by
Therefore, the probability that she selects the route of four specific capitals is
Part B:
</span>
<span>The number of ways of selecting the route of 4 specific capitals is 5,527,200.
Since </span><span>the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of the different possible routes in order to select the one that is best.
Therefore, "</span><span>No, it is not practical to list all of the different possible routes because the number of possible permutations is very large."</span>