Problom 8 ( 10 points). Suppose that \( 60 \% \) of all Miami-Dade residents prefer Coke over Pepsi in a taste test. You randomly sample (poll) \( \mathrm{N}=175 \) Miami-Dade residents and determine the number (X) who prefer Coke over Pepsi. Compute the probability that \( 55 \% \) or more of the polled individuals prefer Coke.

Find the midrange for the following group of data items. \( 84,24,54,24,44 \), The midrange is . (Type an integer or a decimal.)

Find the mean for the following group of data items. \[ 89,86,88,81,86,92 \text { p } \] The mean is \( \square \). (Type an integer or a decimal.)

Fill in the blank so that the resulting statement is true. \( \frac{\Sigma x}{n} \), the sum of all the data items divided by the number of data items, is the measure of central tendency called the

A data value that occurs most often in a data set is the measure of central tendency called the \( \square \)

3. (4 puntos) La longitud de la sardina del Pacífico (Sardinops sagax) se pue considerar que es una variable aleatoria con distribución normal de media 175 mn desviación típica 25.75 mm . b. Hallar una longitud \( t<175 \mathrm{~mm} \) tal que entre ese \( t \) y 175 mm estén el \( 18 \% \) de sardinas capturadas.