Answer:
[tex]\sigma = 0.5\ Seconds[/tex]
Step-by-step explanation:
Given that
Mean ,λ = 0.5 seconds
In exponential distribution ,variance is given as follows
Variance=λ²
Variance = 0.5 x 0.5 = 0.25 seconds
The standard deviation in exponential distribution is given as follows
[tex]\sigma=\sqrt{Variance}[/tex]
[tex]\sigma = \sqrt{0.25}[/tex]
[tex]\sigma = 0.5\ Seconds[/tex]
Therefore the standard deviation will be 0.5 seconds.
