Answer:
The value of c is 4.
Step-by-step explanation:
Consider the provided probability density function,
[tex]f(t) = ce^{-4t}[/tex]
We need to find the value of c.
According to probability density function.
[tex]\int\limits^{\infty}_{-\infty} {f(x)}} \, dx=1[/tex]
Therefore,
[tex]\int\limits^{\infty}_0 {ce^{-4t}} \, dt=1[/tex]
[tex]\frac{c[e^{-4t}]^\infty_0}{-4}=1[/tex]
[tex]\frac{-c[0-1]}{4}=1\\c=4[/tex]
Hence, the value of c is 4.
