Question

probability distributions
look at the graph describing the function ( p(x) = \frac{2x + 1}{24} ) for ( x = 1, x = 2, x = 3, ) and ( x = 4 ). what is the probability of event 2 occurring?
a. ( \frac{2}{24} )
b. ( \frac{5}{24} )
c. ( \frac{4}{24} )
d. ( \frac{7}{24} )

Explanation:

Step1: Sustituir $x=2$ en $P(x)$

$P(2)=\frac{2(2)+1}{24}$

Step2: Calcular el numerador

$2(2)+1=4+1=5$

Step3: Escribir la probabilidad final

$P(2)=\frac{5}{24}$

Answer:

B. $\frac{5}{24}$