If log(a) = 1.2 and log(b)= 5.6, what is log(ab)?
a. 6.72
b. 4.4
c. 6.8
d. not enough information to tell

C

Step-by-step explanation:

By the logarithm product rule, log(ab) = log(a) + log(b). Therefore the solution is 1.2+5.6 = 6.8

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