Question

The time between infection and the display of symptoms for streptococcal sore throat is a random variable whose probability density function can be approximated by 1 p(t) -te-0.05 15,676 for t > 0 (where t is measured in hours). (a) Set up an integral that gives the probability that an infected patient will not display symptoms until after 36 hours. (b) Use a computer algebra system (such as Wolfram Alpha) to approximate the integral from part (a). (c) Using your answer from part (b), state the probability (as a percent) that an infected patient will not display symptoms until after 36 hours.

Answer 1