Question

The teacher collected some snowfall data during one of the snow days last year. Estimate the total snowfall throughout the day.

Answer 1

The total snowfall throughout the day is the expected value of the distribution.

The estimated total snowfall during the day is 30 inches

Start by calculating the average rate of snow collected on that day.

$Rate = \frac{0 + 1.5 + 2.5 + 2.0 +1.0 +0.5}{6}$

This gives

$Rate = \frac{7.5}{6}$

Divide 7.5 by 6

$Rate = 1.25$

There are 24 hours in a day.

So, the total snowfall is:

$Total = Rate \times Hours$

This gives

$Total = 1.25 \times 24$

Multiply

$Total = 30$

Hence, the estimated total snowfall during the day is 30 inches

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