SOLUTION: In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your r
Algebra ->
Probability-and-statistics
-> SOLUTION: In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your r
Log On
Question 202186: In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your results to the nearest whole percent.
Between 20 and 80
A) At least 94%
B) At least 98%
C) At least 99%
D) At least 96%
You can put this solution on YOUR website! In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your results to the nearest whole percent.
Between 20 and 80
A) At least 94%
B) At least 98%
C) At least 99%
D) At least 96%
------------------------------------------------
(20-50)/6 = -30/6 = -5
(80-50)/6 = 30/6 = 5
------------------
20 is 5 standard deviations to the left of the mean.
80 is 5 standard deviations to the right of the mean.
-----------------------------------
The probability a number lies in the interval is at least 99%
=================================================================
Cheers,
Stan H.