Answer, please. Thanks in advance
1 answer:
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No, A and B are not independent events
Step-by-step explanation:
Let us study the meaning independent probability
- Two events are independent if the result of the second event is not affected by the result of the first event
- If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)
∵ P(A) =
∵ P(B) =
∴ P(A) . P(B) = ×
∴ P(A) . P(B) =
∴ P(A) . P(B) =
∵ P(A and B) =
∵ P(A) . P(B) =
- The two answers are not equal
∴ P (A and B) ≠ P(A) · P(B)
- In independent events P (A and B) = P(A) · P(B)
∴ A and B are not independent events
No, A and B are not independent events
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Answer:
a) 68 % will lie between 30 and 44 ounces
b) between 23 and 44 ounces will lie 81,5 %
Step-by-step explanation: See Annex
a) Normal Distribution N ( 37, 7)
The Empirical Rule establishes that 68 % of values will be at
μ ± 1 σ where μ is the mean and σ the standard deviation
Then: 37 - 7 = 30 and 37 + 7 = 44
68 % of the values will lie between 30 and 44 ounces
b) And between 23 and 44 we should find:
We have 95 % of values between
μ ± 2*σ
In our case to the left of the value (mean 0 ) and up to the value 23 we get 95/2 = 47,5 % and to the right of the value (mean 0 ) and up to 44 we half 68/2 = 34 %
Then between 23 and 44, we have 47,5 + 34 = 81,5 %
