One of the weaving machines used by workers at Fleece in Our Time to produce wool jackets and vests slips out of adjustment an average of 2 5 times per 10 hour shift ( 25 adjustment problems per hour) Assume all the Poisson conditions regarding independence, etc , are met How likely is it that a At...

One of the weaving machines used by workers at Fleece-in-Our-Time to produce wool jackets and vests slips

Question:

One of the weaving machines used by workers at Fleece-in-Our-Time to produce wool jackets and vests slips out of adjustment an average of 2.5 times per 10-hour shift (λ = .25 adjustment problems per hour). Assume all the Poisson conditions regarding independence, etc., are met. How likely is it that
a. At least two hours will elapse between successive adjustment problems?
b. No more than six hours will elapse between successive adjustment problems?
c. Between 3.5 and 5.5 hours will elapse between successive adjustment problems?