Explore BrainMass

Explore BrainMass

    Probability and Independence

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

    Age effects in medical care. The type of medical care a patient receives may vary with the age of the patient. A large study of women who had a breast lump investigated whether or not each woman received a mammogram and a biopsy when the lump was discovered. Here are some probabilities estimated by the study. The entries in the table are the probabilities that both of two events occur; for example, 0.321 is the probability that a patient is under 65 years of age and the tests were done. The four probabilities in the table have sum 1 because the table lists all possible outcomes.

    Tests Done?
    Yes No
    Age under 65 0.321 0.124
    Age 65 or over 0.365 0.190

    (1) What is the probability that a patient in this study is under 65? That a patient is 65 or over?
    (2) What is the probability that the tests were done for a patient? That they were not done?
    (3) Are the events A = (the patient was 65 or older) and B = (the tests were done) independent? Were the tests omitted on older patients more or less frequently than would be the case if testing were independent of age?

    © BrainMass Inc. brainmass.com October 1, 2020, 11:27 pm ad1c9bdddf

    Solution Summary

    The solution provides step by step method for the calculation of probabilities and checking independence. Formula for the calculation and Interpretations of the results are also included.