How to Construct a Trapezium | Given 1 angle, 2 sides and a vertical height

[@anti-poverty3103]

Good sir 😢😢
Please help me out
random variable X has a probability mass function defined by


𝑃(𝑋 = 𝑥) = {
𝑘
(𝑥
−
1
)
,
𝑖𝑓 𝑥 = 2, 3
𝑘
(
8
−
𝑥
)
,
𝑖𝑓 𝑥 = 4, 5, 6
0
𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
i) Write out the probability mass function of X.

ii) Find the expectation of X.

iii) Find the variance of X.

iv) Find P(2 ≤ X ≤ 5)

v) Find 𝑃(𝑋 ≥ 5)

[@anti-poverty3103]

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