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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 class frequencies below describe surface temperatures recorded during repeated measurements

Let X denote the quantity in the table, measured in degrees Celsius

Grouped frequency table
Class interval (degrees Celsius)Frequency
\(-3\le x < 3\)16
\(3\le x < 9\)14
\(9\le x < 15\)12
\(15\le x < 21\)10
\(21\le x < 27\)8

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 \(9 \le X \le 15\)

(a)1 mark

Which class intervals make up the stated event?

(b)1 mark

Use the table to calculate this interval probability. Calculate \(\Pr(9 \le X \le 15)\) as a reduced fraction

Format: exact fraction