​ F(1) =-3 f(1)=−3 f(n)=2⋅f(n−1)+1 ​ f(2)=

3

Step-by-step explanation:

f(1)=−3

f(n)=2⋅f(n−1)+1

​ f(2)= 2×1(2-1)+1

       = 2×1+1

       = 2+1

        = 3

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

knlknlkkn

step-by-step explanation: