Question

Apply Chebyshev's Inequality to lower bound P(X

a) 1/k^2
b) 1/k
c) 1−1/k^2
d) 1−1/k

Answer 1

To apply Chebyshev's Inequality to find the lower bound P(Xa), you need to find the inverse normal value. Calculate the inverse normal value using the given mean and standard deviation: invNorm(0.60, 36.9, 13.9) = 40.4215.

Step-by-step explanation:

To apply Chebyshev's Inequality to lower bound P(X≥a):

1. Find the area to the right, which is 0.40.
2. Find the area to the left, which is 1 - 0.40 = 0.60.
3. Calculate the inverse normal value using the given mean and standard deviation: invNorm(0.60, 36.9, 13.9) = 40.4215.