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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?

Sagot :

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