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Mathematical Methods — Question 7

QCAA 2020, Paper 1 · 1 mark

Q7 · 2020 · Technology-freeSimple familiar1 mark

QUESTION 7

The life expectancy (in years) of an electronic component can be represented by the probability density function p(x)={1x2,x≥1,0,otherwise.p(x)=\begin{cases}\frac{1}{x^2},&x\ge1,\\0,&\text{otherwise.}\end{cases} The probability that the component lasts between 1 and 10 years is
(A)
0.010
(B)
0.100
(C)
0.900
(D)
0.990
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