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help with s2 continuous random variable- finding median. pictures provided

i do get the last part of the question, finding the median?

could someone please explain, the markscheme makes no sense to me!(im self teaching this module)

thanks! :smile:

Reply 1

atsruser

Original post by Mr Tall

i do get the last part of the question, finding the median?

The median is the value of x such that

P(X<x) =0.5

.

Since here, the area under the graph is proportional to the probabilty, we look for the value of x that splits the area of the density graph in half. We can see that this must occur for

x<2

so you need only consider the area under the function

f(x)=kx

, which holds when

x<2

.

And then it's a merely a matter of working with

A=1/2 bh

where A = 1/2.

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