Explain probability using exponential distribution
Failures in equipment at a large industrial plant have been observed to be approximately a Poisson process with parameter λ = ½ per hour (1 every 2 hour). Describe T as the time until the first breakdown after the plant opens. Complete the subsequent probabilities.
1) Probability that it is at least 1 hour before the first breakdown.
2) Probability that it is no more than 4 hours to the first breakdown