Question

principal hensley reported the state test scores from some students at his school.
x is the score that a randomly chosen student scored. write the probability distribution of x in the table below.
write each probability as a decimal.

Explanation:

Step1: Calculate total number of students

Total number of students \(n = 3 + 5+2 + 4+2 + 4=20\)

Step2: Calculate probability for each score

For \(X = 20\): \(P(20)=\frac{3}{20}=0.15\)
For \(X = 23\): \(P(23)=\frac{5}{20}=0.25\)
For \(X = 34\): \(P(34)=\frac{2}{20}=0.1\)
For \(X = 66\): \(P(66)=\frac{4}{20}=0.2\)
For \(X = 82\): \(P(82)=\frac{2}{20}=0.1\)
For \(X = 84\): \(P(84)=\frac{4}{20}=0.2\)

Answer:

\(X\)	\(P(X)\)
\(23\)	\(0.25\)
\(34\)	\(0.1\)
\(66\)	\(0.2\)
\(82\)	\(0.1\)
\(84\)	\(0.2\)