The lifetime, in years, of an electrical component is the random variable T, with probability density function f given by where A and are positive constants i Show that A It is known that out of 100 randomly chosen components, 16 failed within the first year ii Find an estimate for the value of , a...

i To show that A we use the fact that the total area under the probability density function ...

The lifetime, in years, of an electrical component is the random variable T, with probability density function

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The lifetime, in years, of an electrical component is the random variable T, with probability density function f given by

where A and λ are positive constants.

i. Show that A = λ.

It is known that out of 100 randomly chosen components, 16 failed within the first year.

ii. Find an estimate for the value of λ, and hence find an estimate for the median value of T.

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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 lifetime, in years, of an electrical component is the random variable T, with probability density function

Question:

S Ae-M t>0, otherwise, f(t) =

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i To show that A we use the fact that the total area under the probability density function ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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