Given that, mean = 50 and standard deviation = 6
According to Chebyshev's theorem, at least (1 - 1/k2) of the data fall within k standard deviations of the mean.
We want to find, the probabilitiy that a number lies between 35 and 65.
For x = 35
k = (35 - 50) / 6 = -15/6 = -2.5
For x = 65
k = (65 - 50) / 6 = 15/6 = 2.5
That means k = 2.5 or 25/10
Therefore,
Therefore, the probabilitiy that a number lies between 35 and 65 is at least 21/25
Answer : D)
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