Below is a sketch of a uniform distribution between 1 and 5. Fill in the y-axis with the value of f(x) that makes this a proper probability density function: ii. P(X > 4) iii. P(2 < X < 4.5) f(x) iv. P(X = 3.6) 0 1 2 -3 a) If X Uniform(1,5), find the following probabilities: i. P(X <3) X 4 b) What are the mean and variance of this distribution? 5 6

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Below is a sketch of a uniform distribution between 1 and 5. Fill in the y-axis with the value of f(x)
that makes this a proper probability density function:
ii. P(X > 4)
iii. P(2 < X < 4.5)
f(x)
a) If X~ Uniform(1,5), find the following probabilities:
i. P(X < 3)
iv. P(X= 3.6)
0 1 2 3
X
4
b) What are the mean and variance of this distribution?
5 6
Transcribed Image Text:Below is a sketch of a uniform distribution between 1 and 5. Fill in the y-axis with the value of f(x) that makes this a proper probability density function: ii. P(X > 4) iii. P(2 < X < 4.5) f(x) a) If X~ Uniform(1,5), find the following probabilities: i. P(X < 3) iv. P(X= 3.6) 0 1 2 3 X 4 b) What are the mean and variance of this distribution? 5 6
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