Jenny is either a hippie or an artist. but jenny is certainly not a hippie. so it can be concluded that jenny is an artist.

Yes

Step-by-step explanation:

In the question it is given that jenny is either a hippie or an artist .so there are two possibilities for jenny .

Further it is given that jenny is certainly not a hippie therefore one possibility is ruled out of being a hippie so we left with only one i.e. jennny being a artist.

So we can conclude that jenny is an artist

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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