For each day that Sasha travels to work, the probability that she will experience a delay due to traffic is 0.2. Each day can be considered independent of the other days. In the question,  What is the probability that Sasha’s first delay due to traffic will occur after the fifth day of work travel? Why is it that the answer is 0.32768? How did we get the solution?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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 For each day that Sasha travels to work, the probability that she will experience a delay due to traffic is 0.2. Each
day can be considered independent of the other days. In the question,  What is the probability that Sasha’s first delay due to traffic will occur after the fifth day of work travel? Why is it that the answer is 0.32768? How did we get the solution?

The probability that Sasha's first traffic delay will occur after the fifth day is the probability that no traffic
delay occurs on any of the first five days:
P(No delay during first 5 days) = (0.8)³ = 0.32768.
Transcribed Image Text:The probability that Sasha's first traffic delay will occur after the fifth day is the probability that no traffic delay occurs on any of the first five days: P(No delay during first 5 days) = (0.8)³ = 0.32768.
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