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Use the given confidence interval limits to find the point estimate and the margin of error E.
1 answer:
Answer:
The point estimate = 0.507
Margin error of a given confidence interval = 0.032
Step-by-step explanation:
The point estimate is calculated by using the sample statistics of a population.
Thus; point estimate can be expressed with the formula:
Given that : 0.475 < p < 0.539
The point estimate = 0.507
The margin of error which shows the percentage of points that the derived results would differ from that of the given population value can be calculated with the formula:
Margin error of a given confidence interval =
Margin error of a given confidence interval =
Margin error of a given confidence interval =
Margin error of a given confidence interval =
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Answer: No, A and B are not independent events.
∵ it does not satisfy the rule of probability for independent events i.e.
P(A∩B)=P(A).P(B)
Explanation:
Let A be the event that the black dice shows 2 or 5
Let B be the event that the sum of two dice is atleast 7
Sample space of A={(
}
Sample space of B= { ,
,
}
P(A)=
⇒P(A)=
⇒P(A)=
Similarly,
P(B)=
⇒ P(B) =
Now for Sample Space of (A∩B)= {}
So, P(A∩B)=
Now we apply the formula,
P(A).P(B)=P(A∩B)
×
≠
≠
∴ The events A and B are not independent events.