Chapter 5, Problem 69P

Use the following information to answer the net 16 exercises. Carbon-14 is a radioactive element with a half-life of about 5730 years. Carbon-14 Is said o decay exponentially. The decay rate Is 0.000121. We are with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14.

Find the amount (percent of one gram) of caibon-14 lasting less than 5,730 years. This means, find P(x < 5,730).

a. Sketch the graph, and shade the area of interest.

Figure 5.59

b. Find the probability. P(x < 5,730) = _________