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the time to fly between new york city and chicago is uniformly distributed with a minimum of 66 minutes and a maximum of 100 minutes. what is the probability that a flight is less than 71 minutes? a) 1.00 b) 0.15 c) 0.07 d) 0.00

Answer :

The probability that the flight is less than 71 minutes is 0.1471

Let the distribution of the time to fly between New York City and Chicago be X

X~U(66,100)

where,

66 = minimum

100 = maximum

We need to find P(X<71)

We know that in the case of uniform distribution,

P(X<x) = (x - a) / b -a

where,

a = min value

b = max value.

Hence P(X<71)

= (71 - 66) / (100 - 66)

= 5/34

= 0.1471

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