Chemical signals of mice.Consider Refer to the Cell (May 14,2010) study of the ability of a mouse to recognize the odor of apotential predator, Exercise 3.63 (p. 143). Recall that theThesources of these odors are typically major urinary proteins(Mups). In an experiment, 40% of lab mice cells exposed tochemically produced cat Mups responded positively (i.e., recognizedthe danger of the lurking predator). Consider a sample of 100 labmice cells, each exposed to chemically produced cat Mups. Let xrepresent the number of cells that respond positively. Explain whythe probability distribution of x can be approximated by thebinomial distribution. Find E(x) and interpret its value,practically. Find the variance of x. Give an interval that islikely to contain the value of x.
