Assignment:
On average, 30-minute television sitcoms have 22 minutes of programming. Assume that the probability distribution for minutes of programming can be approximated by a uniform distribution from 18 minutes to 26 minutes.
a) What is the probability a sitcom will have 25 or more minutes of programming?
b) What is the probability a sitcom will have between 21 and 25 minutes of programming?
c) what is the expected duration of programming?
d) What is the mean and standard deviation of the random variable?
e) Write the equation of the probaiblity density function?
f) Diagram the probability density function?
Provide complete and step by step solution for the question and show calculations and use formulas.