Use the table to answer the question.
Carrots Peppers Totals
Sandy Soil 120 50 170
Rocky Soil 100 150 250
Totals 220 200 420
Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.
(1 point)
Responses
45.5%
45.5%
83.3%
83.3%
40.0%
40.0%
100.0%
To calculate the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to use the relative frequency formula:
Relative Frequency = Number of times both events occur / Total number of times the first event occurs
From the table:
Number of times a farmer prefers to grow carrots and has rocky soil = 100
Total number of times a farmer prefers to grow carrots = 220
Relative Frequency = 100 / 220 = 0.4545
Converting this to a percentage, we get:
45.5%
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%.