In a certain distribution of number the mean is 50 with a st

In a certain distribution of number, the mean is 50 with a standard deviation of 6. Use chebyshev\'s theorem to tell the probability that a number lies in the indicated interval.

Between 35 and 65

Solution

we have given

mean=50

standard deviation =6

upper = 65

lower=35

firstly , we need to find value of k\'

k=(upper - mean/SD

k=(65-50)/6=2.5

k=(35-50/6=-2.5

so, we can find probability

p=1-(1/k^2)

p=1-(1/2.5^2)=0.84

So, probability is 0.84.........Answer