Explore BrainMass

Explore BrainMass

    Normal Distribution and Joint Probability Distribution

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    54. Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation .85 (suggested in "Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants," Water Research, 1984: 1169?1174).

    a. If a random sample of 25 specimens is selected, what is the probability what is the probability that the sample average sediment density is at most 3.00? Between 2.65 and 3.00?

    b. How large a sample size would be required to ensure the the first probability in part (a) is at least .99?

    Please see the attached file for the fully formatted problems.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:22 pm ad1c9bdddf


    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    Solution. a) If the population follows normal distribution with mean 2.65 and standard deviation 0.85. Then for a sample ...

    Solution Summary

    Normal Distribution, Joint Probability Distribution and Random Samples are investigated. The solution is detailed and well presented.