MATH 314 Quiz 08

Given on 2025-09-30

In a chemical processing plant, a specific reactor is known to have a rare malfunction due to random impurities in the reactants. Over the past several years, data has shown that this malfunction occurs on average 1.5 times every 100 hours of operation. A new batch of reactant is being processed in this reactor for a continuous 48-hour run.

a. What is the probability that there will be no malfunctions during this 48-hour run?

b. What is the probability that there will be at most five malfunction during this 48-hour run?

c. What is the probability that there will be more than two malfunctions during a 24-hour run?