The angle at which any one of Robbins Industries metal shaving machine camshafts comes to rest after spinning has a uniform distribution defined by the density function

a. Determine the probability that the resting position angle will be between 60 and 90 degrees. 

b. Determine the probability that the resting position angle will be greater than 120 degrees. 

c. There’s a 20% probability that the resting position angle will be greater than _____ degrees. 

d. There’s a 50% probability that the resting position angle will be less than ______ degrees.

Transcribed Image Text:

f(x) (1/360 for x values between 0 and 360 degrees everywhere else