0
$\begingroup$

Suppose $P_\text{tax}$ has a symmetric triangular distribution on $[1.2,1.9]$. Please answer:

a) The probability that $P_\text{tax}< 1.6$.

I have the following answer without the use of integrals:

triangle base $= 1.55-1.2$

triangle height $= 2/(1.9 - 1.2)$.

trapezoid height $= 1.6-1.55$

trapezoid 'bigger' base $= 2/(1.9-1.2)$

trapezoid 'smaller' base $= -4(1.6-1.9)/(1.2-1.9)^2$

Hence, the probability that $P_\text{tax}< 1.6$ is $0.5+0.2653 = 0.7653$.

Thank you for your help!

  • 2
    What is a Ptax? It sounds like some kind of fossilized mosquito...2011-11-09
  • 0
    Ptax is an exchange rate2011-11-09
  • 0
    I assume that by symmetric triangular distribution we mean that the density function has shape an isosceles triangle base the interval from $1.2$ to $1.9$. Then the given answer is wrong.2011-11-09

1 Answers 1