May/June 2026 Paper 61

2026 · 6 questions · 17 parts · 50 marks

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0Correct0Partial0Wrong17Unattempted

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3(a)(i)3(a)(ii)3(a)(iii)3(b)

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4(a)4(b)4(c)4(d)

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5(a)(i)5(a)(ii)5(b)

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Context for question 6

A random variable

X

has probability density function given by

f (x) = ⎩ ⎨ ⎧ \frac{8}{7} λ e^{- λ x} 0 0 < x < ln 2, otherwise,

where

λ

is a constant.

6(a)Continuous Random VariablesHard4 marks

Show that

λ = 3

.

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6(b)Continuous Random VariablesHard4 marks

Use integration by parts to find

E (X)

.

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E (X)