Ella completed the following work to test the equivalence of two expressions. What conclusion can you draw from Ella’s work?
A.) The expressions are equivalent because Ella got a different result when she substituted zero for f.
B.) The expressions are equivalent because Ella got the same result when she substituted zero for f.
C.) The expressions are not equivalent even though Ella got the same result when she substituted zero for f.
D.) The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

the answer is 1/4

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560