A plant has a pollution-control system shutdown once every 75 days, on average. What is the...

Question

Question

A plant has a pollution-control system shutdown once every 75 days, on average. What is the probability of at least one shutdown in the next year?

math Statistics-And-Probability

Answer 1

Answer #1

Please don't hesitate to give a "thumbs up" in case you're satisfied with the answer

A. is correct.

x = 365 days

Lambda = 75 days

P(X>=1)

= 1- P(X=0)

= 1- (75^365)*(e^-75)/(365!)

= 1- 0

= 1 or 100%

Answer 2

Similar Homework Help Questions

An accident at work occurs, on average, once every 10 days at a construction site. What...

An accident at work occurs, on average, once every 10 days at a construction site. What is the probability that the next work accident will occur in: a) 5 days or less b) 10 days or less c) 20 days or less
A system has a history of malfunctioning at an average rate of once in every 400...

A system has a history of malfunctioning at an average rate of once in every 400 days. The malfunctions are known to be random and independent and may be described by an exponential distribution. Determine, a. What percentage of components will fail in 200 days? If the manufacture wants to replace only 5% of the components, for how long should the manufacturer stated warranty on the component be? By redesigning the component, the manufacturer could increase...
Suppose that it snows in Greenland an average of once every 21 days, and when it...

Suppose that it snows in Greenland an average of once every 21 days, and when it does, glaciers have a 26% chance of growing. When it does not snow in Greenland, glaciers have only a 9% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing?

Suppose that it snows in Greenland an average of once every 24 days, and when it...

Suppose that it snows in Greenland an average of once every 24 days, and when it does, glaciers have a 21% chance of growing. When it does not snow in Greenland, glaciers have only a 8% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing?
Suppose that it snows in Greenland an average of once every 21 days, and when it...

Suppose that it snows in Greenland an average of once every 21 days, and when it does, glaciers have a 26% chance of growing. When it does not snow in Greenland, glaciers have only a 9% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing? (Round your answer to four decimal places.)
Suppose that it snows in Greenland an average of once every 27 days, and when it...

Suppose that it snows in Greenland an average of once every 27 days, and when it does, glaciers have a 30% chance of growing. when it does not snow in Greenland, glaciers have only a 5% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing? (Round your answer to four decimal places.)

Suppose that it snows in Greenland an average of once every 29 days, and when it...

Suppose that it snows in Greenland an average of once every 29 days, and when it does, glaciers have a 27% chance of growing. When it does not snow in Greenland, glaciers have only a 5% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing? (Round your answer to four decimal places.)
A company typically receives an order for a particular product once every five days. a. What...

A company typically receives an order for a particular product once every five days. a. What is the probability that there are two orders in 12 days? b. In 30 days? c. In one day?
(please, don't answer just the results) An accident at work occurs, on average, once every 10...

(please, don't answer just the results) An accident at work occurs, on average, once every 10 days at a construction site. What is the probability that the next work accident will occur in: a) 5 days or less b) 10 days or less c) 20 days or less

Suppose traffic accidents at a road intersection occur once every 7 days. It can be assumed...

Suppose traffic accidents at a road intersection occur once every 7 days. It can be assumed there is no more than 1 accident occurring at this intersection simultaneously, and at this intersection accidents can occur at any time. Also, an accident is not due to other accidents. (What type of distribution is this i.e. Gaussian, Poisson, etc.?) What is the probability that there are 3 accidents during the next 15 days at the intersection? Calculate by hand. What is the...