You can use the exponential distribution formula the rate parameter

Solved Step by Step With Explanation- Probability of Sensor Lasting

Questions

Solved Step by Step With Explanation- Probability of Sensor Lasting

Answer

Where X is the random variable representing the sensor's lifetime.

Now, you can use the exponential distribution formula:

P(X < 262,800) = 1 - e^(-0.0000025 * 262,800)

P(X < 262,800) = 1 - e^(-0.657)