Create a class called Circle that has the following attributes: Circle() Circle(centerPoint, radius) getArea() - Double getDiameter) - Double getCircumference() - Double toString() - String Circle centerPoint- Point radius-Double Notes: getArea(), getDiameter(), and getCircumference() will return the appropriate values based on standard calculations.

1. (3 points) Convert (137)10 to ( ) 16- Show your work to receive credit.

(3) (a) A fair coin is flipped, if it lands on the head side, one dice is rolled and X is the resulted number, if it lands on the tail side, two dice are rolled and X is the resulted sum. Calculate E[X] and V[X]. Write a computer program and carry out a simulation to verify your answers. (b*) A person starts walking home from a bar towards his home. The distance is n blocks. Every hour he either manages to walk one block towards home, or gets confused and picks up a cab back to the bar (each with probability 1/2). At any point, if he is at the bar, he always moves ahead one block. What is the expected time it takes him to get home? (c) Write a computer program' and carry out a simulation to verify your answer. (If you have trouble with part (b), do the computer simulation and formulate a conjecture of the answer for partial credits.)

if it's possible expand each number as a sum of powers of the indicated base . if not explain why not? . and then assume the base 10