A computer is sold for a certain price and then its value changes exponentially over time.
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The graph describes the computer's value in dollars) over time (in years).
value (dollars)
Skill Sum
Exponenti
500
400+
Exponenti
300+
200
Quiz 1
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100
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time
(years)
0.5
1
1.5
2
2.5 3
3.5
Graphs of
What was the computer's initial price?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?