Q5 Let = {} 1 91 (3₁) = f(x) = x = 1, 2, 3, 4, 5, 6, otherwise. be the probability mass function of a discrete random variable X. Show that the probability mass function of the smallest observation Y₁ of a random sample of size 5 from this distribution is 5 - (²= ")" - (0 ="), y = 1, 2, 3, 4, 5, 6. 6 and zero otherwise. Note: you already know how to write down the cumulative distribution function of Y₁, the smallest of X₁, X₂, X3, X4, and X5; remembering that we are sampling from a discrete distribution, derive the probability mass function of Y₁.

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