You toss a fair coin 20000 times Use chebyshevs inequality t

You toss a fair coin 20000 times. Use chebyshev\'s inequality to estimate the probability that you do not land on heads between 45% and 55% of the time. Please explain and show work Thank you

Solution

0.5 * 20000 = 10000

0.45 < k < 0.55

1 - 1/k2 = 0.45

k = 1.35

Z = 1.65

probability = 0.0495