Respuesta :
Answer:
(a)0.039
(b)0.645
(c)0.316
(d)Event in Part (a)
Step-by-step explanation:
Sample size = 2021
Number who said Franklin Roosevelt was the best president since World War II=398
Note that in a selection without replacement, the total population reduces after each selection.
If two adults are selected at random from the population of all U.S. adults without replacement:
Let X represent those who say Franklin Roosevelt was the best president
Ley Y represent those who disagree
(a)Probability that both adults say Franklin Roosevelt was the best president since World War II
Pr(XX)=[tex]\frac{398}{2021}X \frac{397}{2020}=0.039[/tex]
(b)Probability that neither adult says Franklin Roosevelt was the best president
Number of those who disagree=2021-398=1623
Pr(YY)=[tex]\frac{1623}{2021}X \frac{1622}{2020}=0.645[/tex]
(c)Probability that at least one of the two adults says Franklin Roosevelt was the best president
Pr(XY) or Pr(YX)=[tex](\frac{398}{2021}X \frac{1623}{2020})+(\frac{1623}{2021}X \frac{398}{2020})[/tex]=0.316
(d)The event in part (a) is unusual because its probability is less than or equal to 0.05.