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Question

If r.vX: waiting time in minutes for bus and p.d.f of X is given by
f(x)=15,0x50,otherwise
then probability of waiting time not more than 4 minutes is =...........

A
0.3
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B
0.8
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C
0.2
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D
0.5
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Solution

The correct option is A 0.8
Given :
f(x)=15,0x50,otherwise
Probability of waiting time not more than 4 is same as probability of waiting time less than 4 minutes and it is given by
P(X<4)=P(X=3)+P(X=2)+P(X=1)+P(X=0)
=15+15+15+15 .... [From the definition of f]
=4×15=0.8

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