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N-variate Gaussian density Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number of light

N-variate Gaussian density

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Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number of light bulbs that burn out in the next week in a room with 16 bulbs b. The number of freethrow attempts before the rst shot is made c. The gender of college students d. The exad time it takes to evaluate 2?+ T2 e. The square footage of a house f. The amount of snowfall in December in City A a. Is the number of light bulbs that burn out in the next week in a room with 16 bulbs a discrete random variable, a continuous random variable, or not a random variable? 0 A. It is a discrete random variable. 0 B. It is a continuous random variable. 0 C. It is not a random variable. b. Is the number of freethrowI attempts before the rst shot is made a discrete random variable, a continuous random variable, or not a random variable? 0 A. It is a discrete random variable. 0 B. It is a continuous random variable. 0 C. It is not a random variable c. Is the gender of college students a discrete random variable, a continuous random variable, or not a random variable? 0 A. It is a continuous random variable. 0 B. It is a d'mcrete random variable. 0 C. It is not a random variable. d. Is the exact time it takes to evaluate 2? +?2 a discrete random variable. a continuous random variable. or not a random variable? 0 A. It is a continuous random variable. 0 B. It is a discrete random variable. 0 C. It is not a random variable. e. Is the square footage of a house a discrete random variable, a continuous random variable. or note random variable? 0 A. It is a continuous random variable 0 B. It is a discrete random variable. H r I| :. .mo .. "ml...\" .....:..L.I.. With the joint pdf of N-variate Gaussian density function below, derive the bi-variate Gaussian density function. (10points) fXXX ( 1, X2 , " " , X'N ) 1/2 x - X ] [ C * J' [ x - X = N/2 exp 2 : N - variate Gaussian density

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