Question

a city planner counted the number of floors per building in the downtown area.
x is the number of floors that a randomly chosen building has. write the probability distribution of x in the table below.
write each probability as a decimal.

Explanation:

Step1: Calculate total number of buildings

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

Step2: Calculate probability for \(X = 7\)

\(P(X = 7)=\frac{4}{20}=0.2\)

Step3: Calculate probability for \(X = 28\)

\(P(X = 28)=\frac{4}{20}=0.2\)

Step4: Calculate probability for \(X = 42\)

\(P(X = 42)=\frac{3}{20}=0.15\)

Step5: Calculate probability for \(X = 47\)

\(P(X = 47)=\frac{3}{20}=0.15\)

Step6: Calculate probability for \(X = 58\)

\(P(X = 58)=\frac{4}{20}=0.2\)

Step7: Calculate probability for \(X = 70\)

\(P(X = 70)=\frac{2}{20}=0.1\)

Answer:

\(X\)	\(P(X)\)
\(28\)	\(0.2\)
\(42\)	\(0.15\)
\(47\)	\(0.15\)
\(58\)	\(0.2\)
\(70\)	\(0.1\)