Question

A bag contains 5 yellow marbles and 10 blue marbles. If a representative sample contains 2 yellow marbles, then how many blue marbles would you expect it to contain? Explain.

Because the ratio of yellow marbles to blue marbles is ______
in the population, the expected number of blue marbles is _____ times the number of yellow marbles in the representative sample.
There should be ____ blue marbles.

Answer 1

Ratio of yellow marbles to blue marbles = 1 / 2

Blue marbles are 2 times of yellow marble

Number of expected blue marble = 4

Explanation:

Given:

Total number of blue marble = 10

Total number of yellow marble = 5

Chosen marble = 2 yellow

Find:

1. Ratio of yellow marbles to blue marbles.

2. How many times blue marble from yellow marble.

3. Number of expected blue marble.

Computation:

1. Ratio of yellow marbles to blue marbles = Total number of yellow marble / Total number of blue marble

Ratio of yellow marbles to blue marbles = 5 / 10

Ratio of yellow marbles to blue marbles = 1 / 2

2. Ratio of yellow marbles to blue marbles = 1 / 2 .

So, Blue marbles are 2 times of yellow marble

3. Number of expected blue marble = 2 × Number of expected blue marble

Number of expected blue marble = 2 × 2

Number of expected blue marble = 4