Question

Moira grows pumpkins to sell at a farmer’s market. She sorts the pumpkins by color and size and then makes this frequency table to display the data. Find the conditional relative frequency that a pumpkin is orange, given that it is a small pumpkin.

A. Fraction: 3/10, Decimal: 0.3, Percent: 30%
B. Fraction: 1/5, Decimal: 0.2, Percent: 20%
C. Fraction: 2/5, Decimal: 0.4, Percent: 40%
D. Fraction: 4/9, Decimal: 0.444, Percent: 44.4%

Answer 1

To find the conditional relative frequency that a pumpkin is orange, given that it is a small pumpkin, divide the frequency of small, orange pumpkins by the total frequency of small pumpkins. The answer is 0.2 or 20%.

Step-by-step explanation:

To find the conditional relative frequency that a pumpkin is orange, given that it is a small pumpkin, we need to use the information provided in the frequency table. The frequency table displays the number of pumpkins of each color and size. In this case, we are interested in the conditional relative frequency of orange pumpkins among the small pumpkins. To calculate this, we need to divide the frequency of small, orange pumpkins by the total frequency of small pumpkins. From the frequency table, we can see that there are 15 small pumpkins and 3 small, orange pumpkins. Therefore, the conditional relative frequency of a pumpkin being orange, given that it is small, is 3/15 = 0.2, which is equivalent to 20%.