60% of workers in a given company are male (M). Management has proposed a new private health care plan for all workers. Of the males, 45% support (S) this health care plan; whereas 35% of females (F) do not support (NS) the health care plan. (a) Draw a complete and accurate tree diagram based on the above information and calculate the probabilities of all four possible outcomes. [4] (b) Calculate the probability that a randomly selected worker supports the health care plan. [3] (c) Suppose a randomly selected worker does not support the health care plan, what is the probability that the worker is female?

60% of workers in a given company are male (M). Management has proposed a new private health care plan for all workers. Of the males, 45% support (S) this health care plan; whereas 35% of females (F) do not support (NS) the health care plan. (a) Draw a complete and accurate tree diagram based on the above information and calculate the probabilities of all four possible outcomes. [4] (b) Calculate the probability that a randomly selected worker supports the health care plan. [3] (c) Suppose a randomly selected worker does not support the health care plan, what is the probability that the worker is female?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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