Question

Problem 6 :

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 100 minutes and a maximum of 150 minutes.

1.What is the probability that a flight takes less than 135 minutes?

A-P(X<135)=0.5
B-P(x<135) = 0.7
C-P(X<135)=0.135
D-P(X<135)=0.15

2.What is the probability that a flight takes less than 110 minutes?

A-P(x<110) = 0.2
B-P(X<110)=0.1
C-P(X<110)=1.1
D-P(X<110)=0

3.What is the probability that a flight takes more than 140 minutes?

A-P(x> 140)=0.14
B-P(x> 140)=1.4
C-P(x> 140)=0.33
D-P(x> 140) = 0.2

4.What is the probability that a flight takes between 125 and 140 minutes?

A-P(125<x<140) =0.55
B-P(125<x<140) = 0.3
C-P(125<x<140) =0.125
D-P(125<x<140) =0.14

5.The mean flying time and the standard deviation are:

A-Mean= 125 minutes ; Standard-deviation=14.43
B-Mean= 125 minutes ; Standard-deviation=75
C-Mean= 14.43 minutes ; Standard-deviation=208
D-Mean= 8.66 minutes ; Standard-deviation=135

Answer 1

1) Answer is OPTION (b) 0.7

2) Answer is OPTION (a) 0.2

3) Answer is OPTION (d) 0.2

4) Answer is OPTION (b) 0.3

5) Answer is OPTION (a) Mean =125 ans Standard Deviation =14.43