Question

1. You’ve been given a robot which can only move one unit in one of two directions (with equal probability) - left or right, meaning that its motion is one-dimensional along the x-axis. It is currently at x = 0.
a) In 6 steps, how likely is the robot to be on the negative side of the x-axis?
b) How about 7 ? (You’ll probably be better off writing a code to check if you can’t think of a mathematical way to solve these, since the number of outcomes increases in powers of 2)
c) Can you generalise the probability of ending on the negative side in n steps, where n is an even number ? What about when n is an odd number ?
d) Is the probability for ending on the left side of the x-axis different from that of ending on the right side for any value of n ?
e) List all possible values that the final coordinate can take for n = 10 steps, along with their probabilities. Is there a specific name for the distribution these probability values are following ?

Answer 1

Answer:

So many ques but according to the rule only 1 question shall be posted so 1 of the question will be answered still I will be solving all as it is a easy question

Explanation:

1. Yes
2. no
3. no
4. yes
5. yes

Hey buddy please mark me as brainliest