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1 of 8 0-day streak

Estimate probabilities from grouped continuous frequency data

Question 1 of 8

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The frequency table summarises rainfall depths measured on several days

Let X denote the quantity in the table, measured in millimetres

Grouped frequency table
Class interval (millimetres)Frequency
\(5\le x < 15\)42
\(15\le x < 25\)35
\(25\le x < 35\)28
\(35\le x < 45\)21
\(45\le x < 55\)14

Use the grouped table as an approximate probability model. The table assigns frequencies to whole class intervals. At a class boundary, changing strict to non-strict endpoint notation does not change the class count

The event to use is \(25 < X < 35\)

(a)1 mark

Which class intervals make up the stated event?

(b)1 mark

Give the probability represented by the stated classes. Calculate \(\Pr(25 < X < 35)\) as a reduced fraction

Format: exact fraction