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Please don’t answer me by hand written.. Would be better if you use your PC to answer so it’s clear for me to read . Thanks !
Question 4 A continuous random variable X which represents the amount of sugar in kg) used by a family per week, has the probability density function -6x+18r-12 1ss2 otherwise iv) Determine the mean and variance of X (v) Determine Var (4X2). Question 5 Consider the following probability distribution for X 0.2 0.3 0.2 (i) Find E(X). (ii Find E(2X+4X) iii) Determine the MGF of X iv) Calculate Var (X) using MGF of X. Question 6 The temperature X (Celcius) at a randomly selected point in a commercial refrigerator is a random variable with probability density function 0 otherwise Determine the MGF of X
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A continuou,べqvdom Vaniable X which dhec,mount the iv Detmie the mea and vajiahce of X E(X): u.tr; dえ 1542-18 2. z 39-3 3 2.2. 它一186 , 135-28 5 2.3 32 t 65 280 So Vanx)239 下一 6-45 205구. RE-3 (ii) Find E (2x3tyx) t 31.3(İİİ) Determine the MGF of χ 3 b 1o iv) d t I o lo - 1o 3Point i mencias nefgrobor X) 2 6 othenvise So Elet*) 2 ,1 e,.L de 0 3 etn.de dル 心, e 3 t 31 9I 31 c [3-21 27 81 31 213 )35 3Nste. It quite diffcult with en İhpc I give hand writs and I hote S o 04 Thenk you. 1 E 29 8.6 t 6.1 10 5.0

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