The arrival time of a gondola at the Black Diamond slope of the Moonback Mountai

Question

The arrival time of a gondola at the Black Diamond slope of the Moonback Mountain Ski resort is equally during the next 4.1 minutes (That is, it follows a uniform continuous distribution.) Calculate the expected arrival time for a gondola. (Round your answer to 2 decimal places.) a. b. What is the probability that a gondola arrives in less than 2.7 minutes? (Do not round intermediate cuiatons Round your answer to 4 decimal places) c. What is the probability that the wait for a gondola is more than 2.7 minutes? (Do not round intermediate calculations. Round your answer to 4 decimal places.) bility

Explanation / Answer

Result:

a).

a=0

b=4.1

Expectation = (a+ b)/2 = 2.05

b).

P( x <2.7) = 0.6585

c).

P( x >2.7) = 0.3415

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