We will now derive the probability that a given observation is part of a bootstrap sample. suppose that we obtain a bootstrap sample from a set of n observations.

a. what is the probability that the first bootstrap observation is not the j^th observation from the original sample? justify your answer.

b. what is the probability that the second bootstrap observation is not the j^th observation from the original sample?

c. argue that the probability that the j^th observation is not in the bootstrap sample is (1 - 1/n)^n.

d. when n = 5, what is the probability that the j^th observation is in the bootstrap sample?

e. when n = 100, what is the probability that the j^th observation is in the bootstrap sample?

45 minutes

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

i dont know

step-by-step explanation:

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: