A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackth
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The volume of the shape
We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.
External radius = internal radius + thickness
Internal radius = 4ft (given)
Recall that the volume(V) of a full cylinder is:
Since the cylinder is cut into two, the volume(V) is:
height (h) = 12ft (given)
The volume of the shape:
Answer:
We have that .
So
However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.
Step-by-step explanation:
Event A:
Probability that a student has a Visa card.
Event B:
Probability that the student has a MasterCard.
We have that:
In which a is the probability that a student has a Visa card but not a MasterCard and is the probability that a student has both these cards.
By the same logic, we have that:
In this problem, we have that:
(a) Could it be the case that P(A ∩ B) = 0.5?
We have that .
So
However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.