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# statistic

Mon 12 Sep, 2011 07:06 pm
a random function X has probability mass function
f(x)=kx^2/30 for=1,2,3,4,5.

a/ determine value of k
b/ find P(X is even)
c/ find P(X > or =3)
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raprap

1
Mon 12 Sep, 2011 10:12 pm
@sonpham,

there's something missing

Consider that y=f(k,x) & you've given x=1,2,...5 what are the corresponding y's\

IOW We need y1,y2,...y5 to predict k

Rap
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markr

1
Tue 13 Sep, 2011 12:05 am
@sonpham,
The values of f(x) must be non-negative and sum to 1. Therefore:
(k+4k+9k+16k+25k)/30=1
You should be able to figure out part (a) from that.

Given that P(x) = f(x) is the probability of x being selected, and now knowing the value of k, it should be easy to figure out P(2)+P(4) and P(3)+P(4)+P(5).
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