Chemical signals of mice. Refer to the Cell (May 14, 2010)

study of the ability of a mouse to recognize the odor of a potential predator, Exercise 4.71

(p. 240). You learned that 40% of lab mice cells exposed to chemically produced major urinary proteins (Mups) from a cat responded positively

(i.e., recognized the danger of the lurking predator).

Again, consider a sample of 100 lab mice cells, each exposed to chemically produced cat Mups, and let x represent the number of cells that respond positively. How likely is it that less than half of the cells respond positively to cat Mups?