Question

The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.
The probability that she will finish her trip in 80 minutes or less is _____.

Answer 1

Answer:

0.8 or 80%

Step-by-step explanation:

Since the time is uniformly distributed, every possible travel time has the same likelihood of occurring.

Lower boundary (L) = 40 minutes

Upper boundary (U) = 90 minutes

The probability that a student finishes her trip in 80 minutes or less is:

$P(t\leq 80) = \frac{80-L}{U-L}=\frac{80-40}{90-40}\\P(t\leq 80) = 0.8=80\%$

The probability is 0.8 or 80%.

Answer 2

Answer:

80%

Step-by-step explanation: