Question: Hello, please may I get some help :)! Question 2 [27 marks] (a) Let Y be a continuous random variable with the probability density function

Hello, please may I get some help :)!

Question 2 [27 marks] (a) Let Y be a continuous random variable with the probability density function 1 fy(y)={ 1' 2956 0, elsewhere. Find: (i) the mean of Y. (5) (ii) the variance of Y. (6) STA1 503/01 2/0/2021 (b) If Y is a normal random variable with parameters ,u = 3 and 02 = 9, find: (i) P(2 0) (5) (iii) my 3| > 6) (6)

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