6. [15 points] A gas barbeque grill has three components: regulator value, burner, and ignitor. The individual reliabili

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6. [15 points] A gas barbeque grill has three
components: regulator value, burner, and ignitor. The individual
reliability of the three components are 0.94, 0.97, and
0.95.
a. What is the reliability of the grill? Show
calculations.
b. After a revision of the grill’s design, the
reliability of the first component was increased to 0.96. The
second and third component’s reliabilities were unchanged. What is
the new reliability of the test? Show
calculations.
c. What percent improvement in reliability in the grill?
(Hint: Calculate the percent increase in reliability compared to
the original reliability. You must use the % change formula to
calculate the percent improvement). Show calculations.