Question

a jug of water is pierced and begins to drip. the number of seconds between each drip is recorded. estimate the probability the next drip will occur in under 5 seconds.
1 3 2 1 1 4 6 5 6 7 7 8 9 6 9 8 6
(1 point)
\\( \frac{7}{17} \\)
\\( \frac{6}{17} \\)
\\( \frac{10}{17} \\)
\\( \frac{11}{17} \\)

Explanation:

Step1: Count total number of data points

The data set is \(1,3,2,1,1,4,6,5,6,7,7,8,9,6,9,8,6\). Counting them, we have \(n = 17\) data points.

Step2: Count number of data points less than 5

The values less than 5 are \(1,3,2,1,1,4\). Counting these, we have \(m=6\) values.

Step3: Calculate probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P = \frac{6}{17}\)

Answer:

\(\frac{6}{17}\) (the second option)