Question

Fill in missing values in the following statements. The distribution of the survival times of a group of laboratory animals being infected with a particular form of bacteria is known to be skewed with the mean of 36 days and standard deviation of 3 days.

a. According to Tchebysheff’s Theorem, at least 75% of the survival times will fall into the interval between ___________ days and ______________ days.

b. At least __________ percent of survival times fall between 27 days and 45 days.

c. At most __________ percent of survival times are larger than 42 days.

d. At most __________ percent of survival times are smaller than 27 days or larger than 45 days.

Answer 1

From the given information,

Using Chebyshev's theorem,

The required correct answers are,

a. According to Tchebysheff’s Theorem, at least 75% of the survival times will fall into the interval between 30 days and 42 days.

b. At least 88.8889% percent of survival times fall between 27 days and 45 days.

c. At most 12.5% percent of survival times are larger than 42 days.

d. At most 11.1111% percent of survival times are smaller than 27 days or larger than 45 days.

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