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Problem 31

# The number of births in randomly chosen hours of a day is as follows. $$4,0,6,5,2,1,2,0,4,3 .$$ Use this data to estimate the proportion of hours that had two or fewer births.

Expert verified
The proportion of hours that had two or fewer births is $$60\%$$. To get this, 6 hours (the number of hours with two or fewer births) were divided by the total number of hours (10), resulting in 0.6. This was then multiplied by 100 to be expressed as a percentage.
See the step by step solution

## Step 1: Understanding the Data

The data given represents the number of births that happened in randomly chosen hours of a day. Each number shown corresponds to the number of births that occurred within that particular hour.

## Step 2: Counting the Hours

The next step is to count the total number of hours, represented by the total number of items in the list. In this case, there are 10 hours in total, as there are 10 numbers given.

## Step 3: Identifying the Relevant Hours

After obtaining the total number of hours, the next step is to identify the number of hours that had two or fewer births. This involves counting the number of instances in the data where the amount is 2 or less.

## Step 4: Calculating the Proportion

Once you have both numbers (total number of hours and number of hours with two or fewer births), you can calculate the proportion by dividing the latter by the former. The result represents the proportion of hours that had two or fewer births in a day.

## Step 5: Expressing the Proportion as a Percentage

Finally, to express this proportion as a percentage, simply multiply the result by 100. This final step gives a more intuitive and understandable representation of the proportion of hours that experienced two or fewer births.

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