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The probability density function of a continuous random variable is defined as follows: f(x)=c when -1≤x≤1=0, otherwise the value of c is?
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The probability density function of a continuous random variable is de...
Calculation of c in Probability Density Function


Given:

The probability density function of a continuous random variable is defined as follows: f(x)=c when -1≤x≤1=0, otherwise.


Calculation:

As probability density function integrates to 1, we can use this property to calculate the value of c.

-∞ f(x) dx = 1

-11 c dx = 1

c [x] -11 = 1

c (1-(-1)) = 1

c = 1/2


Conclusion:

The value of c is 1/2.
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The probability density function of a continuous random variable is defined as follows: f(x)=c when -1≤x≤1=0, otherwise the value of c is?
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