Question

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes.

Respond to the following questions:

What is the probability that a flight takes time less than 135 minutes? *

a-P(X<135)=0

b-P(x<135) = 0.5

c-P(X<135)=0.135

d-P(X<135)=0.15

The mean flying time and the standard deviation are: *

a-Mean=135; Standard-deviation=8.66 minutes.

b-Mean=135; Standard-deviation=75 minutes.

c-Mean=8.66; Standard-deviation=75 minutes

d-Mean=8.66; Standard-deviation=135 minutes

What is the probability that a flight takes time between 125 and 140 minutes? *

a-P(125<x<140) =0.15

b-P(125<x<140) = 0.5

c-P(125<x<140) =0.125

d-P(125<x<140) =0.14

What is the probability that a flight takes time less than 110 minutes? *

a-P(x<110) = 0

b-P(X<110)=0.1

c-P(X<110)=1.1

d-P(X<110)=1

What is the probability that a flight takes time more than 140 minutes? *

a-P(x> 140)=0.14

b-P(x> 140)=1.4

c-P(x> 140)=0

d-P(x> 140) = 0.333

Answer 1

We will use results of uniform distribution to solve the questions. Detailed solution is given in the images below

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