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# RES 341 Week 4 Individual Assignment Exercises From the E-Text

Homework

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5.62)
A certain airplane has two independent alternators to provide electrical power. The
probability that a given alternator will fail on a 1-hour flight is .02. Show all steps carefully
What is the probability that
(a) both will fail? 0.02*0.02= 0.0004 answer
(b) Neither will fail? 0.98^2= 0.9604 answer
(c) One or the other will fail?.0.02+0.02= 0.04 answer
5.70) The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a
fatality. Over a lifetime, an average U.S. driver takes 50,000 trips.
(a) What is the probability of a fatal accident over a lifetime? 1/4,000,000 = 0.00000025
Explain your reasoning carefully. Hint: Assume independent events. Why might the
assumption of independence be violated?
The probability might change between different demographics (for example: age- different age
groups might get into more accidents, gender- men might get in more accidents than women).
(b) Why might a driver be tempted not to use a seat belt “just on this trip”?
The events are independent and the probability is so low that the driver may not deem it
necessary to use a seat belt.

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Excellent! Definitely coming back for more study materials.

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