When a British travelling company reduces fares of a particular trip from London to Nottingham. A small taxi can carry four passengers. The time betwe

snowlovelydayM

snowlovelydayM

Answered question

2021-05-07

When a British travelling company reduces fares of a particular trip from London to Nottingham. A small taxi can carry four passengers. The time between calls for tickets is exponentially distributed with a mean of 30 minutes. Assume that each call orders one ticket. What is the probability that the taxi is filled in less than 3 hours from the time of the fare reduction?

Answer & Explanation

averes8

averes8

Skilled2021-05-08Added 92 answers

Given μ=Mean=30 minutes
Formula probability exponential distribution: ​​​​​​P(xa)=1eaμ

Let us evaluate the formula at x=180 (as 3 hours are 180 minutes): P(x180)=1e(18030)=1e6=1(1c6) 0.9975=99.75%

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