Question 1: Continuous random variables -Uniform distribution Suppose that X= The thickness of a conference-hallwall in cm, is a continuous randon uniform distribution on [A, B]. a) Find the cumulative distribution function if A=12 cm and B=18 cm. b) What is the probability that wall thickness exceeds 14 cm? c) What is the probability that the wall thickness is between 13 cm and16 cm?

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OQuestion 1: Continuous random variables – Uniform distribution
Suppose that X = The thickness of a conference-hall wall in cm, is a continuous random variable with a
uniform distribution on
[A, B].
a) Find the cumulative distribution function if A=12 cm and B=18 cm.
b) What is the probability that wall thickness exceeds 14 cm?
c) What is the probability that the wall thickness is between 13 cm and 16 cm?
d) What is the expected wall thickness if A = 12 cm and B= 18 cm?
e) Describe by words what is the shape of the area under the density curve of the thickness of the
conference-hall wall.
Transcribed Image Text:OQuestion 1: Continuous random variables – Uniform distribution Suppose that X = The thickness of a conference-hall wall in cm, is a continuous random variable with a uniform distribution on [A, B]. a) Find the cumulative distribution function if A=12 cm and B=18 cm. b) What is the probability that wall thickness exceeds 14 cm? c) What is the probability that the wall thickness is between 13 cm and 16 cm? d) What is the expected wall thickness if A = 12 cm and B= 18 cm? e) Describe by words what is the shape of the area under the density curve of the thickness of the conference-hall wall.
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