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:
E. 99.7%
Step-by-step explanation:
Calculate each z-score.
z = (x − μ) / σ
z = (173 − 128) / 15
z = 3
z = (x − μ) / σ
z = (83 − 128) / 15
z = -3
You can use a z-score table, or use the empirical rule.
P(-3 < z < 3) = 99.7%.
Let, the speed of boat = x
Speed of current = y
So, x + y = 280/7
x + y = 40 ---- first equation
x - y = 280/14
x - y = 20
x = 20 + y
Substitute this value of x in first equation,
20 + y + y = 40
2y = 40 - 20
y = 20/2
y = 10
Substitute this in first equation,
x + 10 = 40
x = 30
In short, Speed of Boat = 30 mph, & speed of current = 10 mph
Hope this helps!
Answer:
x= 60 y=50
Step-by-step explanation:
First to find x, all the degrees in a triangle add up to 180 degrees. So 50+70+x=180 which is also 120+x=180 which means x=60. Y is the exterior angle of x and a missing angle. Let's substitute the missing angle with the variable z. 60+50+z=180 which is 110+z=180 which means z is 70. So 180-x+z=y. 180-60+70=y which means y is equal to 50. Hope this helps!
