Back to Develop an empirical probability distribution — Problem 3 · Task Set 30

Exercises: Develop an Empirical Probability Distribution and Find Its Expected Value

Work through each section in order. To turn a frequency table into a
probability distribution, estimate each probability as a RELATIVE
FREQUENCY: count divided by total (or percent divided by 100). Every
probability must be between 0 and 1, and they should sum to about 1.
Compute the expected value as E(X)=xP(X=x)E(X) = \sum x \cdot P(X = x), and scale to
a population total with nE(X)n \cdot E(X). State any modeling choice you make
for an open-ended category. Round as directed.

Grade 11·23 problems·~38 min·Common Core Math - HS Statistics and Probability·group·hss-md-a-4
Work through problems with immediate feedback
A

Warm-Up: Relative Frequency and Reading Tables

These problems review relative frequency and reading frequency tables.

1.

A survey reports the number of TV sets per household as percentages: 0 sets 5%, 1 set 30%, 2 sets 40%, 3 sets 25%. Convert each percentage to a probability (percent divided by 100). Write P(X=1)P(X = 1):   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   and P(X=2)P(X = 2):   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   as decimals.

P(X = 1):
P(X = 2):