Question

a machine at the candy factory dispensed different numbers of lemon - flavored candies into various bags. number of lemon - flavored candies: 2, 3, 4, 5, 6, 7; number of bags: 0, 4, 3, 4, 4, 5. x is the number of lemon - flavored candies that a randomly chosen bag had. complete the graph of the probability distribution of x.

Explanation:

Step1: Calculate total number of bags

First, find the sum of the number of bags. $0 + 4+3 + 4+4 + 5=20$.

Step2: Calculate probabilities for each value of X

For $X = 2$, $P(X = 2)=\frac{0}{20}=0$.
For $X = 3$, $P(X = 3)=\frac{4}{20}=0.2$.
For $X = 4$, $P(X = 4)=\frac{3}{20}=0.15$.
For $X = 5$, $P(X = 5)=\frac{4}{20}=0.2$.
For $X = 6$, $P(X = 6)=\frac{4}{20}=0.2$.
For $X = 7$, $P(X = 7)=\frac{5}{20}=0.25$.

Answer:

The probability - distribution values are: $P(X = 2)=0$, $P(X = 3)=0.2$, $P(X = 4)=0.15$, $P(X = 5)=0.2$, $P(X = 6)=0.2$, $P(X = 7)=0.25$ which can be used to complete the graph.