Question

Direction: Directions: Express each English phrase/sentence to
mathematical phrase/sentence.Write your answer in the box.
1. Jb’s age 10 years from now
2. Marchen is 15 years older than Natalie. The sum of their ages is at most 31.
Write the mathematical sentence for thesum of their ages.
3. The perimeter (P) of a rectangle is twice
the sum of the length (l) and width (w).
4. The denominator of a fraction is 1 less
than the numerator. Write an expression
for the fraction.
5. The length of a rectangular garden is
half of five times the width. Write an
expression for the perimeter of the garden.

Answer 1

Answer:

Independence. Two events A and B are called independent if P(A|B)=P(A), i.e., if conditioning on one does not effect the probability of the other. Since P(A|B)=P(AB)/P(B) by definition, P(A)=P(AB)/P(B) if A and B are independent, hence P(A)P(B)=P(AB); this is sometimes given as the definition of independence.