The accompanying table is from a study conducted with the stated objective of addressing cell phone safety by understanding why people use a particular ear for cell phone use. The goal was to determine whether the ear choice is associated with auditory or language brain hemispheric dominance. Assume that one wants to test the claim that handedness and cell phone ear preference are independent of each other. Complete parts(a) and(b) below.

Right Ear

Left Ear

No Preference

Right-Handed

419

150

39

Left-Handed

10

58

2

a. Use the data in the table to find the expected value for the cell that has an observed frequency of 2.

The expected value is ?

.

(Round to three decimal places asneeded.)