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1. Let F(x) = (0x2 - 0 +1)1[03)(x) + hipo(x), where 0 < 0 < 1.
(a) Show that F(x) is a c.d.f. Is F(x) a discrete, continuous, or "mixed distribution"?
(b) Is there 0 for which F(x) is a distribution function of a continuous random variable? If yes, what is the density function?
(c) Is there 0 for which F(x) is a distribution function of a discrete random variable? If yes, what is the probability mass function?
2. Let F(x) = cED - Argujo (X).1=0
(a) Show that F(x) is a distribution function of a discrete random variable.
(b) Find the corresponding probability mass function.
Explain the difference between multiple independent variables and multiple levels of independent variables. Which is better?
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The random variable x is known to be uniformly distributed between 1.0 and 1.5.
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a research team conducted a study showing that approximately 10 of all businessmen who wear ties wear them so tightly
Plot the market-share data. (b) Describe the trend (if any) and discuss possible causes. (c) Fit three trends (linear, exponential, quadratic).
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