Probability density function of a random variable X is given below

f(x)={0.25if1x50otherwise

P (X ≤ 4) is

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Option 1 : 3/4 
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Concept:

The probability density function is always positive f(x) ≥ 0, and it follows the below condition.

f(x)dx=1

Calculation:

Given:

f(x)={0.25if1x50otherwise

The probability density function of a random variable is,

P(x4)=4f(x)dx

=1(0) dx+14(0.25)dx

=14(x)14=14(41)

P(x4)=34

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