Question

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. Refer to Exhibit 6-2. The probability that her trip will take longer than 60 minutes is _____.

Answer 1

Answer: The required probability is 0.6.

Step-by-step explanation:

Since we have given that

It is uniformly distributed between 40 minutes and 90 minutes,

Probability that her trip will take longer than 60 minutes would be

$\dfrac{b-\alpha }{b-a}$

here, a = 40, b = 90, α = 60

$\dfrac{90-60}{90-40}\\\\=\dfrac{30}{50}\\\\=0.6$

Hence, the required probability is 0.6.