Question

A random walker starts at 0 on the x-axis and at each time unit moves 1 step to the right with probability 3/4 or 1 step to the left with probability 1/4. Estimate the probability that, after 100 steps, the x-coordinate of the walker is more than 50. (round your answer to one decimal place) 0.6 0.5 0.4 None

          A random walker starts at 0 on the x-axis and at each time unit
moves 1 step to the right with probability 3/4 or 1 step to the
left with probability 1/4. Estimate the probability that, after
100 steps, the x-coordinate of the walker is more than 50.
(round your answer to one decimal place)
0.6
0.5
0.4
None

A random walker starts at 0 on the x-axis and at each time unit
moves 1 step to the right with probability 3/4 or 1 step to the
left with probability 1/4. Estimate the probability that, after
100 steps, the x-coordinate of the walker is more than 50.
(round your answer to one decimal place)
0.6
0.5
0.4
None

Added by Kimberly A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Kirsty Gledhill

Step 1

After 2 steps, the walker can be at -2, 0, or 2. The probability of being at -2 or 2 is 1/16 each, and the probability of being at 0 is 14/16. After 3 steps, the walker can be at -3, -1, 1, or 3. The probability of being at -3 or 3 is 1/64 each, the probability Show more…

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A random walker starts at 0 on the x-axis and at each time unit moves 1 step to the right with probability 3/4 or 1 step to the left with probability 1/4. Estimate the probability that, after 100 steps, the x-coordinate of the walker is more than 50. (round your answer to one decimal place) 0.6 0.5 0.4 None