A certain species of fish is said to have an average lifespan of 2.5 yrs, with a standard deviation of 6 months. On a sample of 36 fishes determine the following assuming that the sample means are distributed normally: The proportion of fish that will have a mean life span on 1% of the average life span (in %) * 24.2 % O 25.9% 23.6% 22.7% The proportion of fish that will have an average lifespan of more than 29 months but less than 32 months yrs (in %) * 82.2% 83.5% 81.9% 86.5%

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A certain species of fish is said to have an average lifespan of 2.5 yrs, with a standard deviation of 6
months. On a sample of 36 fishes determine the following assuming that the sample means are
distributed normally:
The proportion of fish that will have a mean life span on 1% of the
average life span (in %) *
24.2 %
O 25.9%
23.6%
22.7%
The proportion of fish that will have an average lifespan of more than 29
months but less than 32 months yrs (in %) *
82.2%
83.5%
81,9%
86.5%
Transcribed Image Text:A certain species of fish is said to have an average lifespan of 2.5 yrs, with a standard deviation of 6 months. On a sample of 36 fishes determine the following assuming that the sample means are distributed normally: The proportion of fish that will have a mean life span on 1% of the average life span (in %) * 24.2 % O 25.9% 23.6% 22.7% The proportion of fish that will have an average lifespan of more than 29 months but less than 32 months yrs (in %) * 82.2% 83.5% 81,9% 86.5%
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