# Using Frequency Tables to Find Probability

DATA:

- Height of arch, feet, 3-9, 10-29, 30-49, 50-74, 75-higher

- Number of arches 111 96 30 33 18

in park

QUESTION:

For an arch chosen at random in Ahches National Park, use the preceding information to estimate the probability that the height of the arch opening is:

a) 3 to 9 ft

b) 30 ft or taller

c) 3 to 49 feet

d) 10 to 74 feet

e) 75 feet or taller.

https://brainmass.com/statistics/frequency-distribution/frequency-tables-probability-201637

#### Solution Preview

There are 288 total bridges.

111 + 96 + 30 + 33 + 18 = 288.

a) 3 to 9 ft

There are 111 bridges between 3 and 9 feet. The probability of the height of a randomly chosen arch opening is 3-9 feet is 111/288 = 0.38541 = 38.541%.

b) 30 ft ...

#### Solution Summary

This problem solution shows you step-by-step how to use a frequency table to find probabilities.

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