The time it takes me to wash the dishes on a randomly selected night is uniformly distributed between 6 minutes and 18 minutes.
a) State the random variable in the context of this problem.
a rv X = the time it takes me to wash dishes on a randomly selected night
b rv X = a randomly selected night
c rv X = a uniform distribution
d rv X = washing dishes
b) Compute the height of the uniform distribution.
Leave your answer as a fraction.
c) Which of the following is the correct description of the picture of the probability distribution of X?
a) a rectangle with edges at 6 and 18
b) a bell-shaped curve that starts at 6 and ends at 18
d) What is the probability that washing dishes tonight will take me between 7 and 17 minutes?
a) Give your answer as a fraction.
b) Give your answer accurate to three decimal places.
e) What is the probability that washing dishes tonight will take exactly 7 minutes?