Question

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

The total number of bags is \(5 + 6+7+4 + 4+5=31\).

Step2: Calculate probabilities for each value of \(X\)

For \(X = 5\), \(P(X = 5)=\frac{5 + 4}{31}=\frac{9}{31}\approx0.29\).
For \(X = 6\), \(P(X = 6)=\frac{6+4}{31}=\frac{10}{31}\approx0.32\).
For \(X = 7\), \(P(X = 7)=\frac{7 + 5}{31}=\frac{12}{31}\approx0.39\).

Step3: Plot the probabilities on the graph

On the \(x -\)axis we have the values of \(X\) (5, 6, 7) and on the \(y -\)axis we plot the probabilities \(\frac{9}{31}\), \(\frac{10}{31}\), \(\frac{12}{31}\) respectively.

Answer:

Plot points \((5,\frac{9}{31})\), \((6,\frac{10}{31})\), \((7,\frac{12}{31})\) on the given probability - distribution graph.