Question

35. Chebychey's Theorem Old Faithful is a famous geyser at Yellowstone National Park. From a sample with 32. the mean duration of Old Faithful's eruptions is 3.32 minutes and the standard deviation is 1.09 minutes. Using Chebycher's Theorem, determine at least how many of the eruptions lasted between 1.14 minutes and 5.5 minutes. (Source: Yellowstone National D 36. Chebycher's Theorem The - 577

Answer 1

The probability that the eruptions lasted between 1.14 min and 5.5 minutes is greater than 75%

Explanation:

The explanation can be found in the attached picture. Chebyshev's inequality was used. It predicts the probability of the random variable to be in ( mean- K* standard dev< x < mean + K*standard dev).

Note: K must be greater than 1