6. There are two factories that make electric switches: Morris (M) and Grant (G.) Only 25% of the switches are made in the Morris factory. Of the switches made by Morris, 10% failed inspection. Of the switches made by Grant, 20% failed inspection. Use F for "failed inspection and FC. for "did not fail inspection.." Round your answers to 3 decimal places. Calculate the following probabilities: a. P(M) = P(G)= P(F|M)= P( F°|M)= P(F|G)= P(F°|G) = b. Draw a tree diagram and place the probabilities on the appropriate branch. Insert a screen shot of your tree diagram in your HW PDF. c. Calculate the following probabilities. P(F N G) = P(F' N G) = P(F N M)= P(F' N M) = For the following questions, Do not just give a number as your answer. Use the appropriate probability notation. d. Probability that a switch failed inspection: e. Probability that a switch that failed inspection was made by the Morris factory.
6. There are two factories that make electric switches: Morris (M) and Grant (G.) Only 25% of the switches are made in the Morris factory. Of the switches made by Morris, 10% failed inspection. Of the switches made by Grant, 20% failed inspection. Use F for "failed inspection and FC. for "did not fail inspection.." Round your answers to 3 decimal places. Calculate the following probabilities: a. P(M) = P(G)= P(F|M)= P( F°|M)= P(F|G)= P(F°|G) = b. Draw a tree diagram and place the probabilities on the appropriate branch. Insert a screen shot of your tree diagram in your HW PDF. c. Calculate the following probabilities. P(F N G) = P(F' N G) = P(F N M)= P(F' N M) = For the following questions, Do not just give a number as your answer. Use the appropriate probability notation. d. Probability that a switch failed inspection: e. Probability that a switch that failed inspection was made by the Morris factory.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:6. There are two factories that make electric switches: Morris (M) and Grant (G.) Only 25% of
the switches are made in the Morris factory. Of the switches made by Morris, 10% failed
inspection. Of the switches made by Grant, 20% failed inspection. Use F for "failed inspection
and FC. for "did not fail inspection.." Round your answers to 3 decimal places. Calculate the
following probabilities:
a.
P(M) = P(G)=
P(F|M)=
P( F°|M)=
P(F|G)=
P(F°|G) =
b. Draw a tree diagram and place the probabilities on the appropriate branch. Insert a
screen shot of your tree diagram in your HW PDF.
c. Calculate the following probabilities.
P(F N G) =
P(F' N G) =
P(F N M)=
P(F' N M) =
For the following questions, Do not just give a number as your answer. Use the appropriate
probability notation.
d. Probability that a switch failed inspection:
e. Probability that a switch that failed inspection was made by the Morris factory.
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