The time, T seconds, between successive cars passing a particular checkpoint on a wide road has probability

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The time, T seconds, between successive cars passing a particular checkpoint on a wide road has probability density function f given by

i. State the expected value of T.

ii. Find the median value of T.

iii. Sally wishes to cross the road at this checkpoint and she needs 20 seconds to complete the crossing. She decides to start out immediately after a car passes. Find the probability that she will complete the crossing before the next car passes.

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Sep 27, 2021 01:20 AM

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The time, T seconds, between successive cars passing a particular checkpoint on a wide road has probability

Question:

1 -0.014 1>0 f(t) = 100 otherwise.

Step by Step Answer:

i To find the expected value of T we need to calculate the integral of tft over the range of t from ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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