The table below shows the ages of houses to the nearest year in a neighborhood. Using the age of the houses as the random
variable, X, which graph shows the probability distribution, Px(x), of a randomly chosen house?

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kyliemorgan8623

30.04.2023

Mathematics

We know that :

$\sf{\bigstar \ \ Cos\theta = \dfrac{Adjacent \ Side}{Hypotenuse}}$

From the figure, We can notice that :

Ф Adjacent side length = 8

Ф Hypotenuse length = 11

$\sf{\implies Cosx^{\circ} = \dfrac{8}{11}}$

$\sf{\implies x^{\circ} = Cos^{-1}\bigg(\dfrac{8}{11}\bigg)}$

$\sf{\implies x^{\circ} = 43.34}$

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The table below shows the ages of houses to the nearest year in a neighborhood. Using the age of the houses as the random variable, X, which graph shows the probability distribution, Px(x), of a randomly chosen house?