Topic:C<span>onditional Probability
</span>For any two events A and B, where P(B) ≠ 0, P( A | B ) = P( A ∩ B ) / P( B ) = P( B | A) * P(A) / P(B)..i.e..{the probability of A given B is equal to the probability of A and B divided by the probability of B}
<span>For a set of events A1, A2, A3, ... , An,
</span>hence,
P(B)
<span>= P(B and A1) + P(B and A2) + ... + P(B and An) </span>
= P(B | A1) * P(A1) + P(B | A2) * P(A2) + ... + P(B | An) * P(An)
P(M | N)
<span>= P(N | M) * P(M) / P(N) </span>
<span>= P(N | M) * P(M) / (P(N | M) * P(M) + P(N | M') * (1 - P(M)))
</span><span>Substitute Values.... you get ?
</span>
Its the first one because if the circle is filled in than it is 2and more or the thing
To check for continuity at the edges of each piece, you need to consider the limit as 
approaches the edges. For example,
has two pieces, 
and 
, both of which are continuous by themselves on the provided intervals. In order for 
to be continuous everywhere, we need to have
By definition of , we have 
, and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of 
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
Answer:
The numbers should be A. 5 and C. 0.
Hope I Helped
The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.
<h3>What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
The volume of the slice is;
If the grandma cut four pieces, is the approximate volume of each slice that Hattie's grandma cut will be;
The approximate volume of each slice will be;
Hence, the approximate volume of each slice will be 63.5 inch².
Learn more about the volume here:
brainly.com/question/16788902
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